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 accelaration will be ______.

Options

• 5 m/s²

• 3 m/s²

• 4 m/s²

• 2 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 3m/s² then its resultant accelaration will be 5 m/s².

Explanation:

Tangential acceleration a_t = m/s²

radial acceleration a_r = `"V"^2/"r" = (20)^2/100` = 4 m/s²

Total acceleration = `sqrt("a"_"r"^2 + "a"_"C"^2)`

`= sqrt((4)^2 + (3)^2)` = 5 m/s²