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

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