qz7sol_0132Hf10 - Δθ = 5 rev ×(2 π rad/1 rev = 10 π...

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TA: Tomoyuki Nakayama Monday, October 18, 2010 PHY 2048: Physic 1, Discussion Section 0132H Quiz 7 (Homework Set #8) Name: UFID: Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator. You need to show all of your work for full credit. ________________________________________________________________________________ A merry-go-round rotates from rest with an angular acceleration of 1.40 rad/s 2 . a) How long does it take to rotate through the first 5.00 rev? First we express the angular displacement of the merry-go-round in radians.
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Unformatted text preview: Δθ = 5 rev × (2 π rad/1 rev) = 10 π rad One of the kinematics equations yields Δθ = (1/2) α t 2 ⇒ t = √ (2 Δθ / α ) = 6.70 s b) How long does it take to rotate through the next 5.00 rev? We calculate the time interval for the merry-go-round to rotate the first 10 rev. Δθ = 10 rev × (2 π rad/1 rev) = 20 π rad Δθ = (1/2) α t 2 t = √ (2 Δθ / α ) = 9.47 s From a), we know it takes 6.70 s to rotate the first 5 rev. The time it takes to rotate the second 5 rev is 9.47 – 6.70 = 2.77 s...
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