### Need help from an expert?

The world’s top online tutoring provider trusted by students, parents, and schools globally.

To calculate the displacement in simple harmonic motion at a given time, use the equation x = A cos(ωt + φ).

In simple harmonic motion, an object oscillates back and forth around an equilibrium position with a constant amplitude and period. The displacement of the object at any given time can be calculated using the equation x = A cos(ωt + φ), where x is the displacement, A is the amplitude, ω is the angular frequency (ω = 2πf, where f is the frequency), t is the time, and φ is the phase angle.

To use this equation, first determine the values of A, ω, and φ. A is the maximum displacement from the equilibrium position, which can be measured or given in the problem. ω can be calculated using the period of the motion (T = 1/f) and the formula ω = 2π/T. Finally, φ is the initial phase angle, which can also be given in the problem or determined from the initial conditions.

Once these values are known, simply plug them into the equation x = A cos(ωt + φ) and solve for x at the given time t. This will give the displacement of the object at that particular moment in the simple harmonic motion.

Study and Practice for Free

Trusted by 100,000+ Students Worldwide

Achieve Top Grades in your Exams with our Free Resources.

Practice Questions, Study Notes, and Past Exam Papers for all Subjects!

The world’s top online tutoring provider trusted by students, parents, and schools globally.

Loading...

Loading...