Circular motion : A record turntable 15 cm in radius rotates at a constant 33.3

Question

Circular motion: A record turntable 15 cm in radius rotates at a constant 33.3 rpm. Find the angular speed in radians per second of the turntable and the velocity in m/s of a point on its rim.

          a) 5.3 rad/s and 0.79 m/s

          b) 209 rad/s and 31.4 m/s

          c) 3.49 rad/s and 0.52 m/s

          d) 318 rad/s and 47.7 m/s

Circular motion: A record turntable 15 cm in radius rotates at a constant 33.3 rpm. Find the angular speed in radians per second of the turntable and the velocity in m/s of a point on its rim.

          a) 5.3 rad/s and 0.79 m/s

          b) 209 rad/s and 31.4 m/s

          c) 3.49 rad/s and 0.52 m/s

          d) 318 rad/s and 47.7 m/s

          e) 0.56 rad/s and 0.083 m/s

Explanation / Answer

Given

radius of the table is r = 15 cm = 0.15 m

angular velocity w = 33.3 rpm

we know that one rpm = 2pi/60 rad per sec so

33.3 rpm = 33.3*2pi/60 rad per sec

w = 33.3*2pi/60 = 3.4872rad/s

that is w = 3.49 rad/s

and the velocity is v = r*W

v = 0.15*3.49 m/s

v = 0.5235 m/s = 0.52 m/s

so the answer is w =3.49 rad/s , v = 0.52 m/s

option c is answer <<<<-------------------- ANS

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