Question

The period of oscillation of a spring-and-mass system is 0.580 s and the amplitude is 5.86 cm. what is the magnitude of the acceleration at the point of maximum extension of the spring?

Answer 1

To find the magnitude of the acceleration at the point of maximum extension of the spring, use the formula: acceleration = (2 * pi * amplitude) / (period^2). Substitute the given values and calculate the expression to find the magnitude of the acceleration.

Step-by-step explanation:

To find the magnitude of the acceleration at the point of maximum extension of the spring, we can use the formula:

acceleration = (2 * pi * amplitude) / (period^2)

Given that the period of oscillation is 0.580 s and the amplitude is 5.86 cm (or 0.0586 m), we can plug these values into the formula:

acceleration = (2 * pi * 0.0586) / (0.580^2)

Calculating this expression will give us the magnitude of the acceleration.