High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression [tex]x = 6.00 \cos(t \cdot \frac{\pi}{4})[/tex]. What is the amplitude of the oscillation?

1) 3.00
2) 4.00
3) 6.00
4) 8.00

Answer :

The amplitude of the piston's oscillation, determined from the given expression x = 6.00 cos(t * π/4), is 6.00 units.

The correct answer is option 3.

Certainly, let's go through the detailed calculation step by step:

The expression for the piston's position is given as x = 6.00 cos(t * π/4).

In simple harmonic motion (SHM), the general form of displacement is x = A cos(ωt + φ), where:

A is the amplitude,

ω is the angular frequency,

t is time, and

φ is the phase constant.

Comparing the given expression with the general form of SHM, we can identify the amplitude (A):

A = 6.00

Therefore, from the given options the correct one is 3.

Other Questions