Question

A distance is related to time according to the expression x = A sin(2πft), where A and f are constants. Find the dimensions of A.

Answer 1

[M⁰L¹T⁰]

Explanation:

given expression,

from the expression x = A sin (2 π f t),

A and f are constants

dimension of A =?

As the sine factor is dimensionless means that sine function will not have any dimension it is dimensionless.

so, remaining

x = A sin ()

so, the dimension of x is L

hence, the dimension of A also will be equal to L i.e [M⁰L¹T⁰]