Question

A body is moving along a circular track of radius 100 m with velocity 20 m/s. Its tangential acceleration is 3 m/s², then its resultant acceleration will be ______.

Options

• 5 m/s²

• 4 m/s²

• 2 m/s²

• 3 m/s²

Answer 1

A body is moving along a circular track of radius 100 m with velocity 20 m/s. Its tangential acceleration is 3 m/s², then its resultant acceleration will be 5 m/s².

Explanation:

Given, tangential acceleration, a, = 3 ms^-2,

radius of track, r = 100 m

and velocity, v = 20 m/s

The radial acceleration of body is

`"a"_"r" = "v"^2/"r" = (20)^2/100 = 4`ms^-2 

∴ Resultant acceleration, a = `sqrt("a"_"t"^2 + "a"_"t"^2)`

`= sqrt((3)^2 + (4)^2)`

= 5 ms^-2