An object rotates at 3.0 rpm(revloutions per minute). What is the magnitude of its angular velocity?
change rpm to radians/sec
3r/min(1/60sec)(2PIradians/rotation)=6PI/60sec=1/6 rad/sec
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To calculate the magnitude of angular velocity, you need to convert the rotational speed from revolutions per minute (rpm) to radians per second (rad/s). The formula to convert rpm to rad/s is:
Angular velocity (ω) = (2π/60) x rpm
Let's substitute the given value of 3.0 rpm into the formula:
ω = (2π/60) x (3.0)
Simplifying this equation, we have:
ω = (2π/20)
Therefore, the magnitude of the angular velocity is (2π/20) rad/s, or approximately 0.314 rad/s.