Question

a ball rolls around a circular track with a frequency of 30 rpm. the radius of the track is 0.5 m. what is the speed of the ball? a. π/2 m/s b. πm/s c. 2πm/s d. π/30 m/s e. 30 πm/s

Answer 1

The speed of a ball rolling around a circular track can be calculated using the formula Speed = 2πr × frequency. Given the radius of the track and the frequency, we can substitute the values into the formula to find the speed. The speed of the ball is 30π m/s.

Step-by-step explanation:

The speed of the ball can be calculated using the formula:

Speed = 2πr × frequency

Given that the radius (r) of the track is 0.5 m and the frequency is 30 rpm, we can substitute these values into the formula to find the speed:

Speed = 2π × 0.5 × 30

Speed = 30π m/s

Therefore, the speed of the ball is 30π m/s, which corresponds to option e.

Answer 2

The speed of the ball rolling around a circular track can be calculated using the formula: Speed = 2πr × Frequency. Given the radius of the track and the frequency of the ball, we can substitute these values into the formula to find the speed. In this case, the speed of the ball is 15π m/s.

The speed of the ball can be found using the formula:

Speed = 2πr × Frequency

Where r is the radius of the track and Frequency is the frequency of the ball.

Given that the radius of the track is 0.5 m and the frequency is 30 rpm, we can substitute these values into the formula to calculate the speed:

Speed = 2π(0.5) × 30 = π(0.5) × 30 = 15π m/s

Therefore, the speed of the ball is 15π m/s.