Question

An object is undergoing SHM with a frequency of 4 Hz and amplitude 1.8 cm. How long does it take the part togo from O to -1.8 cm?

Answer 1

Frequency= f = 4Hz

Amplitude = A = 1.8 cm

x= 0 , x= -1.8 cm

Apply:

frequency = 1 / time period

f = 1 / T

T = 1/f = 1 / 4 = 0.25 s

Time to complete one cycle = 0.25 s

To reach -1.8 cm:

t = T/4

t = 0.25 / 4 = 0.0625 s

Answer: 0.0625 s