Adisplacement is related to time as x = a sin(2πft), where a and f are constants. find the dimensions of a. [hint: a trigonometric function appearing in an equation must be dimensionless.]

we are given

displacement is

now, we are given

rigonometric function appearing in an equation must be dimensionless

so,

must be dimensionless

so, unit of x and unit of 'a' must be same

so, unit of 'a' will be unit of displacment

and unit of displacemet is metre(m)

so, unit of 'a' will be metre(m).............Answer

ye

step-by-step explanation: