Question

A string of length 0.5 m carries a bob of mass 0.1 kg at its end. If this is to be used as a conical pendulum of period 0.4 π sec, the angle of inclination of the string with the vertical is ______. (g = 10m/s²)

Options

• 0.4

• 0.6

• 0.7

• 0.8

Answer 1

A string of length 0.5 m carries a bob of mass 0.1 kg at its end. If this is to be used as a conical pendulum of period 0.4 π sec, the angle of inclination of the string with the vertical is 0.8. (g = 10m/s²)

Explanation:

`T=2pisqrt((Lcostheta)/g)`

`costheta=(gT^2)/(4pi^2L)=(10(0.4pi)^2)/(4pi^2xx0.5)=(10xx0.16pi^2)/(2pi^2)`

`=10xx0.08=0.8`