High School

Amy swats a tetherball, providing a total torque of 196 Nm. The moment of inertia is 1.63 kg m². What is the ball's angular acceleration?

A) 120.24 rad/s²
B) 98.90 rad/s²
C) 83.44 rad/s²
D) 72.34 rad/s²

Answer :

Final answer:

The angular acceleration of Amy's tetherball is calculated using the formula α = τ/I. With the given torque of 196 Nm and a moment of inertia of 1.63 kg m², the angular acceleration is 120.24 rad/s².

Explanation:

To calculate the angular acceleration of Amy's tetherball, we need to apply the formula α = τ/I, where α is the angular acceleration, τ is the torque, and I is the moment of inertia. Given that the torque (τ) is 196 Nm and the moment of inertia (I) is 1.63 kg m², we can substitute these values into the formula to find out the angular acceleration.

Using the formula, we get: α = τ/I = 196 Nm / 1.63 kg m², which equals 120.24 rad/s².

Therefore, the correct answer would be:

A) 120.24 rad/s²