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

Answer:

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

Step-by-step explanation:

Angular speed is given by $\omega=\frac{\Delta \theta}{\Delta t}$, 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:

$\omega=\frac{2\pi}{2.5}\approx \boxed{2.51\:\mathrm{rad/s}}$