The material point vibrates at a frequency of 10 kHz.

The material point vibrates at a frequency of 10 kHz. Determine the period and the number of oscillations per second.

1) The oscillation period of a given material point is calculated from the formula:

ν = 1 / T, where ν is the vibration frequency of a given material point (ν = 10 kHz = 10 * 10 ^ 3 Hz).

T = 1 / ν = 1 / (10 * 10 ^ 3) = 0.0001 s = 0.1 ms.

2) Since the frequency of oscillations is defined as the number of complete oscillations per second, the required number of oscillations of a given material point will be equal to the frequency: n = ν = 10,000 oscillations per second.

Answer: The period is 0.1 ms, the number of oscillations per second is 10,000.