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masha68 [24]
3 years ago
7

A pitcher throws a curveball that reaches the catcher in 0.64 s. The ball curves because it is spinning at an average angular ve

locity of 290 rev/min (assumed constant) on its way to the catcher's mitt. What is the angular displacement of the baseball (in radians) as it travels from the pitcher to the catcher?
Physics
1 answer:
myrzilka [38]3 years ago
6 0

Answer:

\Delta \theta=19.44\ rad

Explanation:

We just have to calculate what angular displacement a ball with an average angular velocity of 290 rev/min experiments in 0.64s. By definition, angular velocity \omega is the angular displacement \Delta \theta divided by the time elapsed:

\omega=\frac{\Delta \theta}{\Delta t}

Since 1\ rev=2\pi \ rad and 1\ min=60\ s, we can covert:

\omega=290\ rev/min=\frac{290\ rev}{min}(\frac{1\ min}{60s})(\frac{2\pi \ rad}{1\ rev})=30.37\ rad/s

Where the terms between parenthesis are equal to 1, so they just change the units. Then for our values we have:

\Delta \theta=\omega \Delta t=(30.37\ rad/s)(0.64s)=19.44\ rad

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