Question

The force F is given in terms of time t and displacement x by the equation F=AsinBx+CsinDt. What is the dimension of D and B

Answer 1

Answer:

Dimension of D

${ m}^{0} {l}^{0} {t}^{ - 1}$

Dimension of B

${m}^{0} {l}^{ - 1} {t}^{0}$

Both D and B is with in trigonometric functions.

Means Bx and Dt should be not have dimension.

since t is time, D should be time inverse.

since x is displacement, B should be length inverse.