Question Detail

PHY 101 Circular Motion Objective Question

Question

A 4 kg ball is swung in a horizontal circle with a radius of 2 m. If the period is 0.5 s, what is its linear speed?
Options
A 4π m/s
B 8π m/s
Correct Answer
C 2π m/s
D 25.1 m/s
Correct Answer

Option B is the correct answer.

Detailed Explanation

The speed is the circumference divided by the period: v = 2πR / T = (2π * 2 m) / 0.5 s = (4π m) / 0.5 s = 8π m/s.

Hint

The object travels the circumference of the circle (2πR) in one period (T). Use the formula P = 2πR/v.

Question Info