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Chapter 6: Q6.1-5PE (page 221)

A baseball pitcher brings his arm forward during a pitch, rotating the forearm about the elbow. If the velocity of the ball in the pitcher鈥檚 hand is 35.0鈥刴/蝉别肠and the ball is 0.300 m from the elbow joint, what is the angular velocity of the forearm?

Short Answer

Expert verified

The angular velocity of the forearm is 166.66鈥剅补诲/蝉.

Step by step solution

01

Concept used and given data

The distance acts as the radius for the circular track followed by the pitcher's hand before pitching.

  • The velocity of the ball in the pitcher鈥檚 hand is 35.0鈥刴/蝉别肠.
  • The distance between the ball and the elbow joint is 0.300 m.
02

Explanation and calculation

The relationship between the angular velocity and linear velocity is given as follows:

Before pitching, the ball is in the hand of the baseball pitcher.

Therefore, the angular velocity of the forearm is equal to the angular velocity of the ball.

The angular velocity of the forearm can be calculated as:

蝇=vr

Putting the values in the above equation, we get:

蝇=350.300=166.66鈥剅补诲/蝉

Therefore, the angular velocity is166.66鈥剅补诲/蝉.

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