During 0.24 s, a wheel rotates through an angle of 2.42 rad as a point on...

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During 0.24 s, a wheel rotates through an angle of 2.42 rad as apoint on the periphery of the wheel moves with a constant speed of2.48 m/s. What is the radius of the wheel?

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4.5 Ratings (973 Votes)

Distance travelled by point on periphery=angular displacement*radius

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =2.42r

Also distance covered=speed*time

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =2.48*0.24=0.5952 m

Equating both:

2.42r=0.5952

r=0.246 m

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During 0.24 s, a wheel rotates through an angle of 2.42 rad as a point on...

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Verified Solution

Question

Physics

During 0.24 s, a wheel rotates through an angle of 2.42 rad as apoint on the periphery of the wheel moves with a constant speed of2.48 m/s. What is the radius of the wheel?

Answer & Explanation Solved by verified expert

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