# physics

posted by .

the equation of a transverse wave travel ling on a rope is given by y=10sin3.14(0.01x-2.00t)where y and x are in cm and t is in seconds.the maximum transverse speed of the particle in the rope is about
options:
1. 62.8 cm/s
2. 75 cm/s

• physics -

dy/dt = -10*2*3.14 cos****
max of cos is 1
so 20*3.14 = 62.8

• physics -

y=10sin 3.14(0.01x-2.00t)=
= 10sin (π•x/100 - 2•π•t).
General form is
y= Asin (2π•x/λ - ω•t).
v =dy/dt =- A •ω cos (2•π•x/λ - ω•t).
v(max) = A •ω,where A =10 cm, ω = 2•π (rad/s),
v(max) = 20• π =62.8 cm/s

## Similar Questions

1. ### AP Physic

Hi there I am having a lot of trouble trying to figure out this homework problem and I really need help. This problem is dealing with wave motion and I do not know how to set up the formula to get the correct answer. Please help me …
2. ### physics

A sinusoidal transverse wave of amplitude ym = 3.2 cm and wavelength = 3.4 cm travels on a stretched cord. Find the ratio of the maximum particle speed (the speed with which a single particle in the cord moves transverse to the wave) …
3. ### physics

A sinusoidal transverse wave of amplitude ym = 6.4 cm and wavelength = 5.2 cm travels on a stretched cord. Find the ratio of the maximum particle speed (the speed with which a single particle in the cord moves transverse to the wave) …
4. ### Physics

The equation of a transverse wave traveling along a very long string is given by y = 5.2 sin(0.013π|x + 4.7π|t), where x and y are expressed in centimeters and t is in seconds. (a) Determine the amplitude. (b) Determine the …
5. ### physics

the equation of transverse wave on a rope is y(x,t)=5sin(4.0t-0.02x) where (y) and(x) are measured in cm and (t) in second.calculate the maximum speed of particle on the rope
6. ### physics

The equation of transverse wave on a rope is y (x, t) = 5 sin (4.0t −0.02x) where y and x are measured in cm and t is expressed in second. Calculate the maximum speed of a particle on the rope.
7. ### Physics

A uniform rope with length L and mass m is held at one end and whirled in a horizontal circle with angular velocity w. You can ignore the force of gravity on the rope. (a) At a point on the rope a distance r from the end that is held, …
8. ### Physics

A wave can be propagated on a rope by holding one end of the rope and moving your hand up and down. The resulting wave is: A)neither transverse nor longitudinal. B)both transverse and longitudinal C)longitudinal D)transverse
9. ### Physics

A wave on a string is described by: y=(3.6cm)sin(2.7x−3.1t +0.97) where x is in meters, and t is in seconds, phase constant is in radians Consider a particle at x= 0.50m. After t = 0, how much time will pass before that particle …
10. ### Physics

A transverse wave is formed on a long skipping rope. The equation of the transverse wave is y=5.50 sin(0.031π x+5.52π t) where x and y are in centimeters, t is in seconds, and Π is pi (3.14..). Find the amplitude of the wave?

More Similar Questions