A wheel of diameter 20 cm is rotating at 600 rpm. The linear velocity of particle at its rim is 628.4 cm/s. The correct answer is Option D) 628.4 cm/s.
Convert the diameter to radius:
Radius = Diameter / 2
Radius = 20 cm / 2
Radius = 10 cm
Convert RPM to radians per second:
Angular velocity (ω) = RPM * 2π / 60
ω = 600 rpm * 2π / 60
ω = 62.8 rad/s
Calculate the linear velocity:
Linear velocity (v) = radius * angular velocity
v = 10 cm * 62.8 rad/s
v = 628.4 cm/s
Question:-
A wheel of diameter 20 cm is rotating at 600 rpm. The linear velocity of particle at its rim is ____
A 6.28 cm/s
B 62.8 cm/s
C 0.628 cm/s
D 628.4 cm/s