Calculate the moment of inertia (in kg·m2) of a skater given the following information. (a) The...
Calculate the moment of inertia (in kg·m2) of a skater given the following information.
(a)
The 64.0 kg skater is approximated as a cylinder that has a 0.130 m radius.
--- kg·m2
(b)
The skater with arms extended is approximately a cylinder that is 57.0 kg, has a 0.130 m radius, and has two 0.950 m long arms which are 3.50 kg each and extend straight out from the cylinder like rods rotated about their ends.
---- kg·m2
Homework Answers
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Calculate the moment
of inertia (in kg·m2) of a skater given the following
information.
(a)
The...
4. Suppose we want to calculate the moment of inertia of a 67 kg skater, relative...
4. Suppose we want to calculate the moment of inertia of a 67 kg skater, relative to a vertical axis through their center of mass. a. First calculate the moment of inertia (in kg.m2) when the skater has their arms pulled inward by assuming they are cylinder of radius 0.125 m. b. Now calculate the moment of inertia of the skater (in kg.m2) with their arms extended by assuming that each arm is 5% of the mass of their body....
Suppose we want to calculate the moment of inertia of a 67 kg skater, relative to...
Suppose we want to calculate the
moment of inertia of a 67 kg skater, relative to a vertical axis
through their center of mass.
Part (a) First calculate the
moment of inertia (in kg⋅m2) when the skater has their
arms pulled inward by assuming they are cylinder of radius 0.11 m.
Part
(b) Now calculate the moment of inertia of the skater (in
kg⋅m2) with their arms extended by assuming that each
arm is 5% of the mass of their...
Menu Contents Grades Course Contents... w3 10.11T - Dynamics of Rotational Motion Rotational Inertia - Timer...
Menu Contents Grades Course Contents... w3 10.11T - Dynamics of Rotational Motion Rotational Inertia - Timer Notes Evaluate Calculate the moment of inertia of a skater given the following information. The 49.0-kg Skater is approximated as a cylinder that has a 0.122-m radius. Feedback Print Into Submit Tres 0/10 The skater with arms extended is approximately a cylinder that is 43.0 kg, has a 0.122-m radius, and has two 0.960-m-long arms which are 3.00 kg each and extend straight out...
Main Menu Contents Grades Course Contents ... hw13 10.11T - Dynamics of Rotational Motion Rotational Inertia...
Main Menu Contents Grades Course Contents ... hw13 10.11T - Dynamics of Rotational Motion Rotational Inertia • Timer Notes Evaluate Calculate the moment of inertia of a skater given the following information. The 49.0-kg skater is approximated as a cylinder that has a 0.122-m radius. 0.365 kg MA2 Feedback Print Into You are correct. Your receipt nois 161-3863 Previous Tres The skater with arms extended is approximately a cylinder that is 43.0 kg, has a 0.122-m radius, and has two...
Calculate the moment of inertia for each scenario: (a) An 80.0 kg skater is approximated as...
Calculate the moment of inertia for each scenario: (a) An 80.0 kg skater is approximated as a cylinder with a 0.140 m radius. (b) The skater extends both her arms, each of which is approximated as a 4.00 kg rod with length 0.850 m rotated about its end. (c) Calculate the angular velocity of the skater during scenario (b) if her angular velocity during scenario (a) is 6.75 rad/s.
QUESTION 8 Calculate the moment of inertia of a skater assuming the following model. The skater...
QUESTION 8 Calculate the moment of inertia of a skater assuming the following model. The skater is approximated as a cylinder (mass of 59 kg and radius 0.11 m) and with arms approacimated as two long rods (mass of 0.9 kg and length 0.95 m for each) extend straight out from the axis of the cylinder Express your answer in Sl units with 3 or more significant Sgures QUESTIONS A playground merry-go-round (a disk) has a mass of 112 kg...
QUESTION 5 A figure skater is spinning with an angular velocity of Il rad/s. She then...
QUESTION 5 A figure skater is spinning with an angular velocity of Il rad/s. She then comes to a stop over a brief period of time. During this time, her angular displacement is 5.9 rad. Determine her average angular acceleration, in SI units, with 3 or more significant figures QUESTION 6 Suppose you exert a force of 171 N tangential to a 0.26 m radius 83 kg grindstone (a solid disk). What is the angular acceleration if there is an...
A skater has a moment of inertia of 100 kg . m^2 when his arms are...
A skater has a moment of inertia of 100 kg . m^2 when his arms are outstretched and a moment of inertia of 75 kg . m^2 when his arms are tucked in dose to his chest. If he starts to spin at an angular speed of 2.0 rps (revolutions per second) with his arms outstretched, what will his angular speed be when they are tucked in?
An ice skater is spinning at 6.8 rev/s and has a moment of inertia of 0.24...
An ice skater is spinning at 6.8 rev/s and has a moment of inertia of 0.24 kg ⋅ m2. Calculate the angular momentum, in kilogram meters squared per second, of the ice skater spinning at 6.8 rev/s. He reduces his rate of rotation by extending his arms and increasing his moment of inertia. Find the value of his moment of inertia (in kilogram meters squared) if his rate of rotation decreases to 1.25 rev/s. Suppose instead he keeps his arms...
The 160 lb ice skater with arms extended horizontally spins about a vertical axis with a...
The 160 lb ice skater with arms extended horizontally spins about a vertical axis with a rotational speed of 1 rev/sec. Estimate his rotational speed if he fully retracts his arms, bringing his hands very close to the centerline of his body. As a reasonable approximation, model the extended arms as uniform slender rods, each of which is 27 in. long and weighs 13 lb. Model the torso as a solid 134-lb cylinder 13 in. in diameter. Treat the man...
4. Suppose we want to calculate the moment of inertia of a 67 kg skater, relative to a vertical axis through their center of mass. a. First calculate the moment of inertia (in kg.m2) when the skater has their arms pulled inward by assuming they are cylinder of radius 0.125 m. b. Now calculate the moment of inertia of the skater (in kg.m2) with their arms extended by assuming that each arm is 5% of the mass of their body....
Suppose we want to calculate the
moment of inertia of a 67 kg skater, relative to a vertical axis
through their center of mass.
Part (a) First calculate the
moment of inertia (in kg⋅m2) when the skater has their
arms pulled inward by assuming they are cylinder of radius 0.11 m.
Part
(b) Now calculate the moment of inertia of the skater (in
kg⋅m2) with their arms extended by assuming that each
arm is 5% of the mass of their...
Menu Contents Grades Course Contents... w3 10.11T - Dynamics of Rotational Motion Rotational Inertia - Timer Notes Evaluate Calculate the moment of inertia of a skater given the following information. The 49.0-kg Skater is approximated as a cylinder that has a 0.122-m radius. Feedback Print Into Submit Tres 0/10 The skater with arms extended is approximately a cylinder that is 43.0 kg, has a 0.122-m radius, and has two 0.960-m-long arms which are 3.00 kg each and extend straight out...
Main Menu Contents Grades Course Contents ... hw13 10.11T - Dynamics of Rotational Motion Rotational Inertia • Timer Notes Evaluate Calculate the moment of inertia of a skater given the following information. The 49.0-kg skater is approximated as a cylinder that has a 0.122-m radius. 0.365 kg MA2 Feedback Print Into You are correct. Your receipt nois 161-3863 Previous Tres The skater with arms extended is approximately a cylinder that is 43.0 kg, has a 0.122-m radius, and has two...
Calculate the moment of inertia for each scenario: (a) An 80.0 kg skater is approximated as a cylinder with a 0.140 m radius. (b) The skater extends both her arms, each of which is approximated as a 4.00 kg rod with length 0.850 m rotated about its end. (c) Calculate the angular velocity of the skater during scenario (b) if her angular velocity during scenario (a) is 6.75 rad/s.
QUESTION 8 Calculate the moment of inertia of a skater assuming the following model. The skater is approximated as a cylinder (mass of 59 kg and radius 0.11 m) and with arms approacimated as two long rods (mass of 0.9 kg and length 0.95 m for each) extend straight out from the axis of the cylinder Express your answer in Sl units with 3 or more significant Sgures QUESTIONS A playground merry-go-round (a disk) has a mass of 112 kg...
QUESTION 5 A figure skater is spinning with an angular velocity of Il rad/s. She then comes to a stop over a brief period of time. During this time, her angular displacement is 5.9 rad. Determine her average angular acceleration, in SI units, with 3 or more significant figures QUESTION 6 Suppose you exert a force of 171 N tangential to a 0.26 m radius 83 kg grindstone (a solid disk). What is the angular acceleration if there is an...
A skater has a moment of inertia of 100 kg . m^2 when his arms are outstretched and a moment of inertia of 75 kg . m^2 when his arms are tucked in dose to his chest. If he starts to spin at an angular speed of 2.0 rps (revolutions per second) with his arms outstretched, what will his angular speed be when they are tucked in?
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