posted by Cheyenne
The speed of ocean waves depends on their wavelength Î» (in meters) and the gravitational field strength g (in m/sË†2) in this way:
Where K is a dimentionless constant. Find the value of the exponents p and q.
Consider the dimensions. Left side, m/s.
Right side (dimentionless)(m)^p * (m/s^2)^q
m/s = m^P * m^q * 1/s^(2q)
consider the exponents of m
consider the exponents of s
You should be able to solve. Check my thinking and math.