Homework-9-soln

Homework-9-soln - Homework Week 9 Chapter 10 SOLUTIONS...

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Homework: Week 9 – Chapter 10 – SOLUTIONS 1. (10-6) A spot of paint on a bicycle tire moves in a circular path of radius 0.38 m. When the spot has traveled a linear distance of 1.50 m, through what angle has the tire rotated? Give your answer in radians. SOLUTION 1.50m 3.9rad 0.38m s r θ == = 2. (10-15) The angular speed of a propeller on a boat increases with constant acceleration from 12 rad/s to 26 rad/s in 2.5 seconds. Through what angle did the propeller turn during this time? SOLUTION 0 11 ( ) (12 rad/s 26 rad/s)(2.5 s) 48 rad 22 t θω ω ∆= + = + = 3. (10-18) A discus thrower starts from rest and begins to rotate with a constant angular acceleration of (a) How many revolutions does it take for the discus thrower’s angular speed to reach 6.3 rad/s? (b) How long does this take? SOLUTIONS (a) 2 .. rad / s () 2 2 2 00 2 2 0 0 2 2 rad s rad s 2( ) 2 6.3 0 2.2 1 rev (18.0 rad) 2 r a d 2.9 rev ωω α θθ π =+ − −= = ⎛⎞ = ⎜⎟ ⎝⎠ = (b) 2 0 rad 0s rad s 6.3 0 2.9 s 2.2 t t ωα =+ = 4. (10-28) A carousel at the local carnival rotates once every 45 seconds. (a) What is the linear speed of an outer horse on the carousel, which is 2.75 m from the axis of rotation? (b) What is the linear speed of an inner horse, which is 1.75 m from the axis of rotation? SOLUTIONS (a) t 1 rev 2 rad (2.75 m) 0.38 m/s 45 s rev vr = (b) t 1 rev 2 rad (1.75 m) 0.24 m/s 45 s rev v
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5. (10-30) Jeff of the Jungle swings on a vine that is 7.2 m long. At some point in his swing, Jeff's angular
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Homework-9-soln - Homework Week 9 Chapter 10 SOLUTIONS...

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