Question

A body is tied to a free end of a string length 2meter and is revolved rest along the horizontal circl with the other fixd end fore 10 second the body makes 300 rpm then calculate the angular acceleration and tangential acceleration

Answer 1

Answer:

Mass, m=0.2 kg

Radius, r=1 m

Angular speed, ω=90 rpm

⟹ω=

60

90

⟹ω=1.5 rps

⟹ω=3π rad/s

(a) Angular velocity, ω=3π rad/s

(b) Centripetal acceleration. a=rw

2

⟹a=1×3π×3π

⟹a=9π

2

m/s

2

(c) Centripetal Force, F=ma

⟹F=0.2×9π

2

⟹F=1.8π

2

N

(d) Tension in string, = Centripetal Force

⟹T=F=1.8π

2

N