A fisherman notices that his boat is moving up and down periodically, owing to w

Question

A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes 3.10 s for the boat to travel from its highest point to its lowest, a total distance of 0.680 m . The fisherman sees that the wave crests are spaced 7.20 m apart. How fast are the waves traveling? If the total vertical distance traveled by the boat were 0.350 m , but the other data remained the same, how fast are the waves traveling ? If the total vertical distance traveled by the boat were 0.350 m , but the other data remained the same, what is the amplitude of each wave?

Explanation / Answer

the time taken by boat to travel from heighest point to lowest point

t = 3.10 s

the period is twice of the period

T = 2t = 2( 3.1) = 6.2 s

(a)

speed of the wave

v = L/T = 7.2 m/6.2 s = 1.16 m/s

(b)

speed of the wave depend on the wavelength and period but not vertical distance

so speed remians same v = 1.16 m/s

(c)

amplitude is half of vertical distance

A = y/2 = 0.350 m/2 = 0.175 m

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.