Question

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At a track and field event, a thrower releases the hammer using one full rotation that takes 2.5 seconds. What is the angular velocity in units of radians per second?

Enter your answer as a value rounded to the nearest hundredth, like this: 0.35

Answer 1

`2.51\:\mathrm{rad/s}`

Explanation:

Angular speed is given by
`\omega=(\Delta \theta)/(\Delta t)`, where
`\Delta \theta` is angle change in radians and
`\Delta t` is elapsed time.

Since the hammer makes one full rotation in 2.5 seconds, it is travelling 360 degrees or
`2\pi` radians every 2.5 seconds.

Thus, we have:

`\omega=(2\pi)/(2.5)\approx \boxed{2.51\:\mathrm{rad/s}}`