Question

A simple harmonic motion is represented by x=10sin(20t+0.5) write down amplitude , angular frequency , time period and phase

Answer 1

amplitude=10,angular frequency=20,time period=pi/10 and phase difference=0.5.......

Answer 2

Dear Student,

● Answer -

A = 20 units

w = 20 rad/s

T = 0.3142 s

Φ = 0.5 rad

● Explanation -

Comparing x = 10sin(20t+0.5) with standard equation of SHM x = Asin(wt+Φ), we can write -

A = 20 units

w = 20 rad/s

Φ = 0.5 rad

Time period of SHM is calculated by formula -

T = 2π/w

T = 2 × 3.142 / 20

T = 0.3142 s

Thanks dear. Hope this helps you...