Question

g An object is oscillating as depicted in the expression below. What is the period T T ? Assume that the units work out and the amplitude is in millimeters and the time t t is in units of seconds. x ( t ) = sin ( π 10 t )

Answer 1

Step-by-step explanation:

x ( t ) = sin ( π 10 t )

This is the equation of a simple harmonic motion .

standard equation of simple harmonic motion is as follows

x ( t ) = A sin ωt , A is amplitude , and ω is angular frequency .

The angular frequency ω = 10π

If time period be T

ω = 2π / T

10π = 2π / T

T = 2π / 10π

T = .2 s .

Time period = .2 s .