A grasshopper floating in water generates waves at a rate of 4.0 per second with a wavelength of 6.0 cm. (a) What is the period of these waves in seconds? (b) What is the wave velocity in cm/s?

he following plot shows a transverse wave at timet= 0.00 s (black dotted line)andt= 2.00 s (red solid line), travelling to the right at a constant speed. (a)What is the amplitude of such a wave in meters? (b) What is the wavelength of such a wave in meters? (c) What is the wave speed in m/s? (d) What is the period of vibration in seconds?

Transverse waves on a string have a wave speed of 8.00 m / s, an amplitude of 0.070 m and a wavelength of 0.320 m.These waves travel in the +x direction, and at t = 0 the end x = 0 of the chord is at y = 0 and is moving downward. (a) Find the frequency, period and wave number k= 2/λ of these waves. (b) Write the equation for y (x, t) describing these waves. (c) Find the transverse displacement of a point on the chord at x = 0: 360m at time t = 0: 150s. (Show the formulas with explanations and steps please)

Two children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 4.5 m long, its mass is 0.64 kg, and the force exerted on it by the children is 47 N. (a) What is the linear mass density of the rope (in kg/m)? kg/m (b) What is the speed of the waves on the rope (in m/s)? m/s

A seismographic station receives S and P waves from an earthquake, separated in time by 15.4 s. Assume the waves have traveled over the same path at speeds of 4.50 km/s and 7.30 km/s. Find the distance from the seismograph to the focus of the quake.

Tension is maintained in a string as in the figure below. The observed wave speed is v = 19.5 m/s when the suspended mass is m = 3.00 kg. (a) What is the mass per unit length of the string? (b) What is the wave speed when the suspended mass is m = 1.95 kg?

Two children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 4.7 m long, its mass is 0.40 kg, and the force exerted on it by the children is 31 N. (a) What is the linear mass density of the rope (in kg/m)?   kg/m (b) What is the speed of the waves on the rope (in m/s)?   m/s

A football player is training with the Battle ropes at the gym. The rope that he is using is 4.12 m long nad has a mass of 11.2 kg. The force exerted by the athlete on the rope is 37.9 N. (c) If the waves have a wavelength of 0.755 m, what is the frequency of the waves?

A boat produces water waves as it sails along a river. You notice that 10 waves hit the bank in 4.8 seconds. If distance between successive wave crests is 3.8 centimeters, how far would these waves travel in 35 seconds. Express your answer in centimeters to at least 3 significant figures.

A speaker-driver supplies W watts of power to waves traveling on an elastic sheet.  As these waves travel outward in circular ripples, the intensity of the wave at a radius of 10 cm. is 5 W/cm.  The power emitted by the source is