If x and t represent position and time,respectively,the B in x = A cos Bt must A)have the dimensions L/T. B)have the dimensions 1/T. C)have the dimensions L. D)have the dimensions L²/T ². E)be dimensionless.

Question

Quizplus · Accepted Answer

In the equation x = A cos Bt, A has dimensions of length (L) and represents the amplitude of the oscillation. In order for the units of x to be in length (L), the term Bt must have units of dimensionless (since cosine of an angle is dimensionless) and therefore B must have units of 1/time (1/T).

If X and T Represent Position and Time,respectively,the B in X