A bicycle wheel is rotating at 41 rpm when the cyclist begins to pedal harder, giving...

A bicycle wheel is rotating at 41 rpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.50 rad/s2

What is the wheel's angular velocity, in rpm, 9.0 s later?

Solutions

Expert Solution

1 revolution = 2 radians

1 minute = 60 seconds

Initial angular speed of the bicycle wheel = ₁ = 41 rpm

Converting the initial angular speed from rpm to rad/s

₁ = 4.294 rad/s

Angular acceleration of the wheel = = 0.5 rad/s²

Angular velocity f the wheel after 9 sec = ₂

Time period = T = 9 sec

₂ = ₁ + T

₂ = 4.294 + (0.5)(9)

₂ = 8.794 rad/s

Converting from rad/s to rpm,

₂ = 83.97 rpm

Angular velocity of the wheel after 9 sec = 83.97 rpm

genius_generous answered 4 months ago

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