(a)
The mass per unit length of the rope.
(a)
Answer to Problem 1SP
The mass per unit length of the rope is
Explanation of Solution
Given Info: The length of the rope is
Write the formula to calculate the mass per unit length of the rope.
Here,
m is the mass of the rope
L is the length of the rope
Substitute
Conclusion:
Therefore, the mass per unit length of the rope is
(b)
The speed of the wave on the rope.
(b)
Answer to Problem 1SP
The speed of the wave on the rope is
Explanation of Solution
Given Info: The tension on the rope is
Write the formula to calculate the speed of the wave on the rope
Here,
F is the tension on the rope
v is the speed of the wave
Substitute
Conclusion:
Therefore, the speed of the wave on the rope is
(c)
The wavelength for the wave on the rope.
(c)
Answer to Problem 1SP
The wavelength for the wave on the rope is
Explanation of Solution
Given Info: The speed of the wave is
Write the expression for the speed of the wave.
Here,
v is the speed of the wave
f is the frequency of the wave
Substitute
Conclusion:
Therefore, the longest possible wavelength is
(d)
The number of cycles of the waves.
(d)
Answer to Problem 1SP
The number of cycles of wave on the rope is
Explanation of Solution
Given Info: The length of the rope is
Write the expression to calculate the number of cycles on the rope.
Here,
n is the number of cycles on the rope
L is the length of the rope
Substitute
Conclusion:
Therefore, the number of cycles of wave on the rope is
(e)
The time required to travel the wave from one end to the other end.
(e)
Answer to Problem 1SP
The time required is
Explanation of Solution
Given Info: The length of the rope is
Write the expression to calculate the time required for the wave to travel to other end.
Here,
t is the time required for the wave for the travelling
Substitute
Conclusion:
Therefore, The time required is
Want to see more full solutions like this?
Chapter 15 Solutions
Physics of Everyday Phenomena
- A sound wave is modeled with the wave function P=1.20Pasin(kx6.28104s1t) and the sound wave travels in air at a speed of v=343.00 m/s. (a) What is the wave number of the sound wave? (b) What is the value for P(3.00 m, 20.00 s)?arrow_forwardA physicist a1 a fireworks display times the lag between seeing an explosion and hearing its sound, and finds it to be 0.400 s. (a) How far away is the explosion if air temperature is 24.0°C and if you neglect the time taken for light to reach the physicist? (b) Calculate the distance to the explosion taking the speed of light into account. Note that this distance is negligibly greater.arrow_forwardTwo children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 3 m long, its mass is 0.5 kg, and the force excited on it by the children is 40 N. (a) What is the linear mass density of the rope? (b) What is the speed of the waves on the rope?arrow_forward
- An airplane moves at Mach 1.2 and produces a shock wave. (a) What is the speed of the plane in meters per second? (b) What is the angle that the shock wave moves?arrow_forwardAn ambulance moving at 42 m/s sounds its siren whose frequency is 450 Hz. A car is moving in the same direction as the ambulance at 25 m/s. What frequency does a person in the car hear (a) as the ambulance approaches the car? (b) Alter the ambulance passes the car?arrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College