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Chapter 6: Q61P (page 1251)

A baseball coach uses a radar device to measure the speed of an approaching pitched baseball. This device sends out electromagnetic waves with frequencyf0 and then measures the shift in frequency鈭�f of the waves reflected from the moving baseball. If the fractional frequency shift produced by a baseball is鈭�f/f0=2.86脳10-7 what is the baseball鈥檚 speed in km/h ?

Short Answer

Expert verified

The baseball鈥檚 speed in km/h is 154.44km/h .

Step by step solution

01

Definition of speed

The term speed may be defined as the ratio of distance and time.

02

Determine the  baseball’s speed in km/h

The speed of baseball found with the relation u=鈭�ff0脳c2

Put the given values

u=2.86脳10-7脳3脳108m/s2u=42.9m/s

Convert it in kilometer per hour

42.9ms脳1km1000m=154.44km/h

Hence, the baseball鈥檚 speed in km/h is 154.44km/h .

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