PHY 138 - Chapter 7 Solutions

# PHY 138 - Chapter 7 Solutions - Problem 7.1(a The angle...

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Unformatted text preview: Problem 7.1 (a) The angle that the tire rotates during the warranty period is ( ) ( ) radians 10 17 . 3 ft . 1 mi ft 5280 mi 60000 8 × = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ = = = R d R d θ θ . (b) The number of revolutions is 5.0 × 10 7 revolutions. Problem 7.5 (a) The angular acceleration of the dentists drill is ( ) 2 2 4 s rad 262 s rev 131 s 20 . 3 s 60 m 1 m rev 10 51 . 2 π ω α α ω = = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ × = = = t t . (b) The angle through which the drill rotates is ( ) rad 1340 s 20 . 3 s rad 262 2 1 2 1 2 2 2 π π α θ = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ = = Δ t . Problem 7.20 The frequency of the centrifuge is calculated from the centripetal force ( ) ( ) ( )( ) 1 16 2 11 2 2 2 2 2 2 2 1480 m 150 . kg 10 . 3 4 N 10 00 . 4 4 4 4 2 − − − = × × = = = = = = s mR F f mR F f mRf R Rf m R mv F π π π π π . Problem 7.29 The net force acting on the spacecraft is ( ) ( ) ( ) ( ) ( ) ( ) N 320 m 10 92 . 1 kg 10 00 . 3 kg 10 36 . 7 kg 10 98 . 5 kg m N 10 67 . 6 8 4 22 24 2 2 11 2 2 2 = × × × − × ⎟...
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PHY 138 - Chapter 7 Solutions - Problem 7.1(a The angle...

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