The swing is 10 meters long. The child has a mass of 20kgs, and also has a whist

Question

The swing is 10 meters long. The child has a mass of 20kgs, and also has a whistle that may be turned on. The swing is made up of two 1/2 inch ropes, each have strength of 7000lbs., and weighs 8lbs per 100ft.

A) what is the maximum size of the doppler shift?

B) The child suddenly jumps on the seat of the swing. How long will it take for this wave to propogate from the child to the swing attachment ring and back?

C) The child has a friend with her. Her friend is waiting at the picnic table. Can the little girl hear the beats and why?

The swing is 10 meters long. The child has a mass of 20kgs, and also has a whistle that may be turned on. The swing is made up of two 1/2 inch ropes, each have strength of 7000lbs., and weighs 8lbs per 100ft. what is the maximum size of the doppler shift? The child suddenly jumps on the seat of the swing. How long will it take for this wave to propogate from the child to the swing attachment ring and back? The child has a friend with her. Her friend is waiting at the picnic table. Can the little girl hear the beats and why?

Explanation / Answer

v = root (T/u)

T = tension in the string

u = mass per unit length of the string

v = velocity of the wave

v = root (7000 x 100 / 8 )

v = 295.8 ft/s

v = f x lamda

f =frequency

lamda = wavelength

now assumng the length vibrates in a single loop

so l = lamda /2

lamda = 20m

f = 295.8 / 20 = 14.79 Hz

assuming the swing to be a simple pendulum its frequency = 1/T

T = 2pi root (L/g)

T = 2 x 3.14 x root(10 /9.8)

T = 6.3

f = 0.1576 Hz

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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