Question

If the maximum velocity and acceleration of a particle executing SHM are equal in magnitude, the time period will be ______.

Options

• 1.57

• 3.17

• 6.28

• 12.56

Answer 1

If the maximum velocity and acceleration of a particle executing SHM are equal in magnitude, the time period will be 6.28.

Explanation:

V_max = a_max

ωA = ω²A

ω = 1

`(2π)/"T"` = 1

T = 2π

T = 6.28 sec