Suppose the displacement x of another object is related to time t according to x = A sin (2nft), where A and f are constants. What are the dimensions of A? a. L x T b. L / T c. L d. T / L e. T

C. L

Explanation:

Given that

Displacement of the object is given as

x = A sin (2 n f t)

We know that

Quantity Dimensions

Length/Amplitude L

Distance / Displacement L

Time T

Velocity LT⁻¹

Acceleration LT⁻²

Area L²

Mass M

Frequency T⁻¹

Given that x is the displacement that is why the dimensions of the displacement will be L.

Now by balancing the dimensions both sides, the dimensions of the A will be L.

C. L