Question

a mass of 0.1 kg is rotated in a vertical circle using a string of length one metre. when the string makes an angle 30 degree with the vertical, the speed of the mass is 2 metre second inverse one.the radial acceleration of the mass at that instant is​

Answer 1

Dear Student,

● Answer -

a = 12.49 m/s^2

● Explaination -

# Given -

m = 0.1 kg

v = 2 m/s

r = 1 m

θ = 30°

# Solution -

Radial acceleration of the mass at any instant in vertical circular motion -

a = v²/r + gcosθ

Substitute values,

a = 2²/1 + 9.8cos30°

a = 4/1 + 9.8×0.866

a = 4 + 8.487

a = 12.49 m/s^2

Therefore, radial acceleration of the mass at that instant is 12.49 m/s^2.

Thanks dear.