1. A pottery wheel with moment of inertia I = 0.14 kg m2 is spinning at...
1. A pottery wheel with moment of inertia I = 0.14 kg m2 is spinning at 5 radians/sec. How much kinetic energy does it have?
2. Ceres is the largest asteroid in the belt between Mars and Jupiter. It has an average radius of 475 km and a period of rotation of 9.07 hours. Calculate its angular momentum if the mass is 9.42 x 1020 kg
The moment of inertia of a solid sphere I = 2/5 mR2
Homework Answers
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1. A pottery wheel with moment of inertia I = 0.14 kg
m2 is spinning at...
A 0.5 kg wheel which has a moment of inertia of 0.03 kg m2 is turning...
A 0.5 kg wheel which has a moment of inertia of 0.03 kg m2 is turning at 30 rev/s. What is the wheel's angular momentum? What is the wheel's rotational kinetic energy?
Problem 19: sig.gif?tid=2N74-D1-D6-44-AC90-13475 An ice skater is spinning at 6.2 rev/s and has a moment of inertia of 0.36 kg ⋅ m2.
Problem 19: An ice skater is spinning at 6.2 rev/s and has a moment of inertia of 0.36 kg ⋅ m2.Part (a) Calculate the angular momentum, in kilogram meters squared per second, of the ice skater spinning at 6.2 rev/s. Part (b) 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 0.75 rev/s. Part (c) Suppose instead he keeps his...
A freely spinning wheel of mass M and radius R and moment of inertia I has...
A freely spinning wheel of mass M and radius R and moment of inertia I has its center attached to a fixed point a distance H above the ground. A thin thread is wrapped around the edge of the wheel, and connected to a mass, M (same as the wheel). When the mass is released from rest, it falls the distance H in a time delta t. In terms of M, g, I and H, how much time, delta t,...
An ice skater is spinning at 5.2 rev/s and has a moment of inertia of 0.56...
An ice skater is spinning at
5.2 rev/s and has a moment of inertia of 0.56 kg ⋅
m2.
(9%) Problem 9: An ice skater is spinning at 5.2 rev/s and has a moment of inertia of 0.56 kg. m². > A 33% Part (a) Calculate the angular momentum, in kilogram meters squared per second, of the ice skater spinning at 5.2 rev/s. Grade Summary Deductions 0% Potential 100% L = 1 E sin() cos() tan() cotano asino acos atan...
17. [1pt) A wheel of mass m = 1.87 kg and moment of inertia, I = 1.530 kg.m- is supported by a pivot a distance d=0.17...
17. [1pt) A wheel of mass m = 1.87 kg and moment of inertia, I = 1.530 kg.m- is supported by a pivot a distance d=0.17 m from the wheel, as shown in the diagram. The axle through the wheel is initially in the horizontal plane, as shown, and the wheel is spinning about the axis in the sense indicated, with an angular velocity o = 90 rad's. Answer the following three questions using the choices given; c.g., if the...
1. A rigid object with moment of inertia 0.4 kg mº is spinning with angular speed...
1. A rigid object with moment of inertia 0.4 kg mº is spinning with angular speed of 0.2 rad/s around a fixed axis. A constant torque of 0.6 Nm is applied that increases the rotation speed of the object (no other force is present). (i) Calculate the angular acceleration of the object. (ii) Calculate the angular speed of the object at t = 4 s. (iii) Calculate the angle spanned by the object from 0 s to 4 s.
A hollow sphere with moment of inertia I = 0.15 kg • m2 is rotating at...
A hollow sphere with moment of inertia I = 0.15 kg • m2 is rotating at 13 rad/s about an axis that passes through its center. Assuming a constant net torque is applied to the sphere, how much work is required to bring the sphere to a stop?
1, A star with a mass of 1.25 × 1031 kg and a radius of 3.45...
1, A star with a mass of 1.25 × 1031 kg and a radius of 3.45 × 105 km is initially rotating on its axis with a period of 24.0 days. The star collapses and becomes a neutron star with a radius of 12.5 km, retaining all of its original mass. Assume the star is a uniform solid sphere before and after the collapse, with a moment of inertia given by (2/5)MR2. What is the period of rotation after collapse?...
A rotor disk in your car's wheel with radius of 30.0 cm and mass of 15.0...
A rotor disk in your car's wheel with radius of 30.0 cm and mass of 15.0 kg rotates with 800 rpm and it slows down to 50 rpm in 10 second. Find its angular acceleration? (b) Number of revolutions during this period of time (c) The required force to do this action during this period of time. Antares is a star in Scorpius constellation. Its radius is 3.0AU and its mas is about 12 times the mass of the sun....
A small rocket (because I like rockets) of mass 1 kg and thrust capability of 250...
A small rocket (because I like rockets) of mass 1 kg and thrust capability of 250 N is slapped onto the edge of a large wheel. The wheel has a mass of 20 kg and a radius of 0.75 m. You light the fuse, stand WAY back, and watch as this Chinese-style firework wheel starts to spin as the rocket fires. Calculate the time it would take the wheel to spin up to 10 revolutions per second. HINT: This problem...
Problem 19: An ice skater is spinning at 6.2 rev/s and has a moment of inertia of 0.36 kg ⋅ m2.Part (a) Calculate the angular momentum, in kilogram meters squared per second, of the ice skater spinning at 6.2 rev/s. Part (b) 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 0.75 rev/s. Part (c) Suppose instead he keeps his...
An ice skater is spinning at
5.2 rev/s and has a moment of inertia of 0.56 kg ⋅
m2.
(9%) Problem 9: An ice skater is spinning at 5.2 rev/s and has a moment of inertia of 0.56 kg. m². > A 33% Part (a) Calculate the angular momentum, in kilogram meters squared per second, of the ice skater spinning at 5.2 rev/s. Grade Summary Deductions 0% Potential 100% L = 1 E sin() cos() tan() cotano asino acos atan...
17. [1pt) A wheel of mass m = 1.87 kg and moment of inertia, I = 1.530 kg.m- is supported by a pivot a distance d=0.17 m from the wheel, as shown in the diagram. The axle through the wheel is initially in the horizontal plane, as shown, and the wheel is spinning about the axis in the sense indicated, with an angular velocity o = 90 rad's. Answer the following three questions using the choices given; c.g., if the...
1. A rigid object with moment of inertia 0.4 kg mº is spinning with angular speed of 0.2 rad/s around a fixed axis. A constant torque of 0.6 Nm is applied that increases the rotation speed of the object (no other force is present). (i) Calculate the angular acceleration of the object. (ii) Calculate the angular speed of the object at t = 4 s. (iii) Calculate the angle spanned by the object from 0 s to 4 s.
1, A star with a mass of 1.25 × 1031 kg and a radius of 3.45 × 105 km is initially rotating on its axis with a period of 24.0 days. The star collapses and becomes a neutron star with a radius of 12.5 km, retaining all of its original mass. Assume the star is a uniform solid sphere before and after the collapse, with a moment of inertia given by (2/5)MR2. What is the period of rotation after collapse?...
A rotor disk in your car's wheel with radius of 30.0 cm and mass of 15.0 kg rotates with 800 rpm and it slows down to 50 rpm in 10 second. Find its angular acceleration? (b) Number of revolutions during this period of time (c) The required force to do this action during this period of time. Antares is a star in Scorpius constellation. Its radius is 3.0AU and its mas is about 12 times the mass of the sun....
A small rocket (because I like rockets) of mass 1 kg and thrust capability of 250 N is slapped onto the edge of a large wheel. The wheel has a mass of 20 kg and a radius of 0.75 m. You light the fuse, stand WAY back, and watch as this Chinese-style firework wheel starts to spin as the rocket fires. Calculate the time it would take the wheel to spin up to 10 revolutions per second. HINT: This problem...
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