Question in description

Question

In deep water, the speed s ( in meters per second) of a series of waves and the wavelength L (in meters) of the waves are related by the equation 2πs^2=9.8L.

a) Find the speed to the nearest hundredth of a meter per second of a series of waves with the following wavelengths: 6 meters, 10 meters, and 25 meters. (Use 13.4 for π.)

b) Does the speed of a series of waves increase or decrease as the wavelength of the waves increases? Explain.

PLEASE HELPPP!!!

Answer 1

(a)

From the given formula

2πs² = 9,8L

get

s = √[9.8L/(2π)]

You have several values of L in meters. Plug then into the equation for s and get s in meters per second. Use the correct value for π (not 13.4).

(b)

The speed increases as wavelength increases.