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4. Suppose we want to calculate the moment of inertia of a 67 kg skater, relative...
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...
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.
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...
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...
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...
(a) Calculate the angular momentum (in kg.m2/s) of an ice skater spinning at 6.00 rev/s given...
(a) Calculate the angular momentum (in kg.m2/s) of an ice skater spinning at 6.00 rev/s given his moment of inertia is 0.470 kg.m2 kg-m2/s (b) He reduces his rate of spin (his angular velocity) by extending his arms and increasing his moment of inertia. Find the value of his moment of inertia (in kg m-) if his angular velocity drops to 1.00 rev/s. kg-m2 (c) suppose instead he keeps his arms in and allows friction with the ice to slow...
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 outstretched hands and arms of a figure skater preparing for a spin can be considered...
The outstretched hands and arms of a figure skater preparing for
a spin can be considered a slender rod pivoting about an axis
through its center ( Ibar = 1 12 mℓ2 where ℓ is the length of the
bar ). When the skater's hands and arms are brought in and wrapped
around their body to execute the spin, the hands and arms can be
considered a thin-walled hollow cylinder. The hands and arms have a
combined mass 10 kg....
A stationary skater with a mass of 80.0 kg and a moment of inertia (about her...
A stationary skater with a mass of 80.0 kg and a moment of inertia (about her central vertical axis) of 3.00 kg-m2 catches a baseball with her outstretched arm. The catch is made at a distance of 1.00 m from the central axis. The ball has a mass of 145 g and is traveling at 20.0 m/s before the catch. (a) What linear speed does the system (skater + ball) have after the catch? (b) What is the angular speed...
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...
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.
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...
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...
(a) Calculate the angular momentum (in kg.m2/s) of an ice skater spinning at 6.00 rev/s given his moment of inertia is 0.470 kg.m2 kg-m2/s (b) He reduces his rate of spin (his angular velocity) by extending his arms and increasing his moment of inertia. Find the value of his moment of inertia (in kg m-) if his angular velocity drops to 1.00 rev/s. kg-m2 (c) suppose instead he keeps his arms in and allows friction with the ice to slow...
The outstretched hands and arms of a figure skater preparing for
a spin can be considered a slender rod pivoting about an axis
through its center ( Ibar = 1 12 mℓ2 where ℓ is the length of the
bar ). When the skater's hands and arms are brought in and wrapped
around their body to execute the spin, the hands and arms can be
considered a thin-walled hollow cylinder. The hands and arms have a
combined mass 10 kg....
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