Question

A body of mass 2 kg is tied to one end of astring, 1.5 m long and revolved in ahorizontal circle about the other end. ifif it performs 300 rpm, calculate its angular velocity, linear velocity and centripetal acceleration.

Answer 1

Hey Dear 

angular velocity (ω) = ? 

Linear velocity (v) = ? 

Centripetal acceleration a(c) = ? 

Frequency = 300 / 60 = 5 cycles / sec 

r = 1.5 m 

Mass of body (m) = 2 kg 

ω = 2π x frequency =  2 x 5 x π = 10π rad / sec 

v = rω

v = 1.5 x 10 π = 15π m/s 

a(c) = v²/ r = (15π)² / 1.5 = 225 π² / 1.5 = 150π² m/s²