Question

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

Answer 1

Answer:

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