Chapter 4: Q. 14.. (page 105)
14. FIGURE Q4.14 shows four rotating wheels. For each, determine the signs or of and .

Short Answer
For wheel
For wheel (b):
For wheel (c):
For wheel (d):
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Chapter 4: Q. 14.. (page 105)
14. FIGURE Q4.14 shows four rotating wheels. For each, determine the signs or of and .

For wheel
For wheel (b):
For wheel (c):
For wheel (d):
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A -diameter gear rotates with angular velocity role="math" localid="1647955750668" , where t is in seconds. At role="math" localid="1647955660518" , what are:
a. The gear’s angular acceleration?
b. The tangential acceleration of a tooth on the gear?
A car starts from rest on a curve with a radius of and accelerates tangentially at . Through what angle will the car have traveled when the magnitude of its total acceleration is ?
10. You have a remote-controlled car that has been programmed to have velocity , where t is in s. At , the car is at . What are the car's (a) position vector and (b) acceleration vector at ?
21. I A kayaker needs to paddle north across a -wide harbor. The tide is going out, creating a tidal current that flows to the east at . The kayaker can paddle with a speed of .
a. In which direction should he paddle in order to travel straight across the harbor?
b. How long will it take him to cross?
A 5.0-m-diameter merry-go-round is initially turning with a period. It slows down and stops in .
a. Before slowing, what is the speed of a child on the rim?
b. How many revolutions does the merry-go-round make as it stops?
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