Assignment: Wave Introduction
1. A note on a piano vibrates 262 times in 5 seconds. Calculate the period of the wave.

Explanation:

A pain vibrates 262 times in 5seconds

The period of a vibration or wave is the time for one complete vibration. When an object makes one vibration per second its frequency is said to be 1 hertz.

Then, the frequency of oscillation is

262 / 5Hz

F = 52.4 Hz

Then,

f = 1 / T

Where

f = frequency

T = period

So, it completes 262 oscillation in 5seconds

Where one oscillation is one period

Then,

Each oscillation will be

T = 5 / 262

T = 0.0191 seconds

T = 19.1 ms

The period of oscillation is 19.1 ms

Or by using

T = 1 / f

T = 1 / 52.4

T = 0.0191s

T = 19.1 ms

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y