A ladybug sits 14 cm from the center of a turntable spinning at 33.33 rpm. The Sun is shining horizontally through the window and the shadow of the ladybug can be seen traveling back and forth across the wall behind the turntable. What is the maximum velocity, in meters per second, of the shadow on the wall?

Question

Physics

Freddie

13 January, 08:11

A ladybug sits 14 cm from the center of a turntable spinning at 33.33 rpm. The Sun is shining horizontally through the window and the shadow of the ladybug can be seen traveling back and forth across the wall behind the turntable. What is the maximum velocity, in meters per second, of the shadow on the wall?

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Answers (1)

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Milo Levy · Answer 1

The maximum velocity is 0.489 m/s

Explanation:

Maximum velocity (v) = angular velocity (w) * radius (r)

w = 33.33 rpm = 33.33*0.1047 = 3.4897 rad/s

r = 14 cm = 14/100 = 0.14 m

v = 3.4897*0.14 = 0.489 m/s