Final answer:
The angular speed of a body vibrating at 50 cycles per second is 100π rad/s.
Step-by-step explanation:
The angular speed of a body vibrating at 50 cycles per second can be calculated using the formula:
Angular speed = 2π × Frequency
Given that the frequency is 50 cycles per second, we can substitute this value into the formula to find the angular speed:
Angular speed = 2π × 50 = 100π rad/s
So, the angular speed of the body vibrating at 50 cycles per second is 100π rad/s.