Pretend a system is having Transverse waves. And those transverse waves on a string have wave speed 8.00 m/s amplitude 0.0700m and wavelength 0.320m. The waves travel in the -x dierection, and at t=0 the x=0 end of the string has its maximum upward displacement

a) Find the frequency, period, aand wave number of these waves.

b) Write a wave function describing the wave

c) Find the transverse displacement of a particle at x=0.360m at time t=0.150s

d) How much time must elapse from the instant in part c) until the particle at x=0.360m next has maximum upward displacement?

a) 25 Hz, 0.04s, 19.64. b) y(x, 0) = 0.07 sin 19.64x. c) - 0.019 m. d) 0.045s

Explanation: wave speed (v) = 8m/s, amplitude (A) = 0.07m and wavelength (λ) = 0.32m

A)

Recall that v = fλ

8 = f( 0.32)

f = 8/ 0.32 = 25 Hz.

But T = 1/f

T = 1/25 = 0.04s

Wave number (k) = 2π/λ= 2(3.142)/0.32 = 19.64

B)

y(x, t) = A sin (kx - wt) but t =0

Hence, y(x, 0) = A sin kx

y(x, 0) = 0.07 sin 19.64x

C) recall that y(x, t) = A sin (kx - wt), we are to find y(x,t) when x = 0.360m and t = 0.150s

w=2πf = 2(3.142)× 25 = 157.14 rad/s

A = 0.07m

k = 19.64

y(x,t) = 0.07 sin {19.65(0.360) - 157.14(0.15)}

y(x,t) = 0.07 sin { 7.074 - 23.571}

y(x,t) = 0.07 sin (-16.497)

y(x,t) = 0.07 × (-0.283)

y(x,t) = - 0.019 m

D) wave speed = 8m/s, x = 0.360 m

Wave speed = distance /time

8 = 0.360/t

t = 0.360/8 =0.045s

kinetic

i'm so sorry if this is wrong i'm only in 6th grade xd

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: