University:
Eastern Kentucky University
Course:
PHY 230 | University Physics II
Academic year:

2023
Views:

267

Pages:

10
Author:

jaxbrokenhart4z4x

Worksheet CalculationsWeek 3 Waves 1 Traveling Waves 1. A particular wave traveling along a string is described by: y(x,t) = ( 0.0060m) sin ( (0.006 rad x + (600 rad t m ) s ) ) a. Determine the amplitude, frequency, period and wave speed for this traveling wave. b. What is the equation for the transverse velocity of any particular point along the string? c. What is the maximum transverse velocity of any particular point along the string? Waves on a Stretched String 2. The linear density of a string is 1.5x10-4 kg/m. The equation of a transverse wave on a string is: y(x,t) = (0.025m )sin ((2.0 rad x - (30 rad t m ) s ) ) a. What is the wave speed? b. What is the tension in the string? c. What is the average power for this wave? 3. The equation of a transverse wave on a string is: y(x,t) = (2.0mm )sin (( 20 rad x - (600 rad t m ) s ) ) The tension in the string is 15 N. a. What is the wave speed? b. What is the linear mass density of the string, in grams per meter? c. Determine the average power transmitted by this wave. d. Demonstrate that this transverse wave satisfies the wave equation: ¶ 2y 1 ¶ 2y . = ¶x2 v2 ¶t2 Standing Waves 4. A string is attached to a string vibrator (f=120 Hz) at one end and fixed at the other. The length of the string is 1.2 m. a. What wavelengths will satisfy the standing wave condition for the string? b. What is the maximum wave speed that will produce a standing wave in this string? c. What string tension will correspond to the wave in (b) is the linear density of the string is 2.5x10-4 kg/m? d. What string tension would correspond to a standing wave that produces 6 nodes in the string?

Worksheet Calculations Week 3 Waves

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