qz7sol_3885f10

# qz7sol_3885f10 - Δθ = 4 rev ×(2 π rad/1 rev = 8 π rad...

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TA: Tomoyuki Nakayama Monday, October 18, 2010 PHY 2048: Physic 1, Discussion Section 3885 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 1.80 rad/s 2 . a) How long does it take to rotate through the first 4.00 rev? First we express the angular displacement of the merry-go-round in radians.
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Unformatted text preview: Δθ = 4 rev × (2 π rad/1 rev) = 8 π rad One of the kinematics equations yields Δθ = (1/2) α t 2 ⇒ t = √ (2 Δθ / α ) = 5.28 s b) How long does it take to rotate through the next 4.00 rev? We calculate the time interval for the merry-go-round to rotate the first 8 rev. Δθ = 8 rev × (2 π rad/1 rev) = 16 π rad Δθ = (1/2) α t 2 t = √ (2 Δθ / α ) = 7.47 s From a), we know it takes 5.28 s to rotate the first 4 rev. The time it takes to rotate the second 4 rev is 7.47 – 5.28 = 2.19 s...
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