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Solution Assignment 2: (Spring 2012) Physics
PHYSICS (PHY101)
TOTAL MARKS: 20
Due Date: 03/05/
Question # 1 What is the value of arc length in the shown figure below? Marks 3
Radius = 0.35m
Solution
First of all convert the given angle into radian measure i.e. 60˚= π/3rad Now apply the formula S = rθ S = rθ = 0.35* π/ = 0.3522÷7 = 0.37m
Question # 2
In the fig shown below, at 12:10, the initial angular position of the minute hand is 60˚. After 15 minutes have passed, what is the minute hand’s angular displacement? Marks 5
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Solution: Angular displacement in the counterclockwise direction is positive, where as clockwise it is taken as negative.
∆θ = θf - θi
Or
= - π/2rad
Question # 3 Give your opinion on the following statement, “Wave speed in a string is a function of frequency, so if anyone increases the wave frequency, the wave speed will increase, too.” If yes give an example, if no explain it.
Solution
No. The speed of a wave in a string is fixed by the tension and linear density of the string. Increasing wave frequency will cause a decrease in wavelength, but no change in wave speed. Marks = 6
Question # 4
Suppose that a rocket provides 58 N·m of torque for 3.0 s. What is the amount of change in the Satellite’s angular momentum? Marks = 6
Solution:
As we know that
*τ∆t = ∆L ∆L = (58)(3) = 174kg.m 2 /s
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