A uniform ball with diameter of 10 cm rolls without slipping on a horizontal tabletop. The moment of inertia of the ball about an axis through its center is $2.2 \times 10 ^ { - 3 } \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$ translational speed of its center is 0.45 m/s.
(a) What is its angular speed of the ball about its center of mass?
(b) What is the rotational kinetic energy of the ball?
(c) What is the ball's angular momentum about its center of mass?

Question

A uniform ball with diameter of  10 cm  rolls without slipping on a horizontal tabletop. The moment of inertia of the ball about an axis through its center is $2.2 \times 10 ^ { - 3 } \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$ translational speed of its center is  0.45 m/s.
(a) What is its angular speed of the ball about its center of mass?
(b) What is the rotational kinetic energy of the ball?
(c) What is the ball's angular momentum about its center of mass?

Quizplus · Accepted Answer

The Answer of A uniform ball with diameter of  10 cm  rolls without slipping on a horizontal tabletop. The moment of inertia of the ball about an axis through its center is $2.2 \times 10 ^ { - 3 } \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$ translational speed of its center is  0.45 m/s.
(a) What is its angular speed of the ball about its center of mass?
(b) What is the rotational kinetic energy of the ball?
(c) What is the ball's angular momentum about its center of mass?

A Uniform Ball with Diameter of 10 Cm 2.2×10−3 kg⋅m22.2 \times 10 ^ { - 3 } \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }2.2×10−3 kg⋅m2

A Uniform Ball with Diameter of 10 Cm $2.2 \times 10 ^ { - 3 } \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$