Question

Y=asin(wt-kx)where x is distance and t is time what is dimensional formula of w ,k

Answer 1

The dimensionless quantities are

Coefficient of static friction(μs)

coefficient of kinetic friction(μk)

Decibels(dB)

Poissons ratio

Stokes number

 

for Sin X , X should be dimensionless

here wt-kx should be dimensionless , so dimension of w/k is equal to dimension of x/t which is m/sec or LT-1