Atransverse harmonic wave travels on a rope according to the following expression:

y(x, t) = 0.14sin(2.1x + 17.7t)

the mass density of the rope is μ = 0.104 kg/m. x and y are measured in meters and t in seconds.

1)

what is the amplitude of the wave?

m

your submissions:

2)

what is the frequency of oscillation of the wave?

hz

your submissions:

3)

what is the wavelength of the wave?

m

your submissions:

4)

what is the speed of the wave?

m/s

your submissions:

5)

what is the tension in the rope?

n

your submissions:

6)

at x = 3.4 m and t = 0.48 s, what is the velocity of the rope? (watch your sign)

m/s

your submissions:

7)

at x = 3.4 m and t = 0.48 s, what is the acceleration of the rope? (watch your sign)

m/s2

your submissions:

8)

what is the average speed of the rope during one complete oscillation of the rope?

m/s

your submissions:

9)

in what direction is the wave traveling?

+x direction

-x direction

+y direction

-y direction

+z direction

-z direction

your submissions:

10)

on the same rope, how would increasing the wavelength of the wave change the period of oscillation?

the period would increase

the period would decrease

the period would not change