Finding a Variable Algebraically

In the theory of biorhythms, a sine function of the form P=50 sin w t +50 is used to measure the percent, P, of a person's potential at a time, t, where t is measured in days and t=0 is the person's birthday. Three characteristics are commonly measured:

Physical Potential: period of 23 days

Emotional Potential: period of 28 days

Intellectual Potential: period of 33 days

Find w for each characteristic.

I'm not sure how to find w. Can someone show me, step by step what I need to do?

Re: Finding a Variable Algebraically

, where is the period of the sine function in question