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3. A merry-go-round rotates from rest with an angular acceleration of 1.56 rad/s. How long does it take to rotate through the first 2 rev? A) 2s B) 4 s C) 6 s D) 8 s 10

3. A merry-go-round rotates from rest with an angular acceleration of 1.56 rad/s. How long does it take to rotate through the first 2 rev? A) 2s B) 4 s C) 6 s D) 8 s 10

Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Energy Of A System
Section: Chapter Questions
Problem 15P: A small particle of mass m is pulled to the top of a friction less half-cylinder (of radius R) by a...
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v? Circular motion: ac = Weight: Fg = mg, ; g= 9.8 m/s?; Payr = At = ma; Kinetic energy: K= m v²; Potential energy: Ug = mgy E = Er E = U+K v2 Rotational motion: 1 rev = 2n rad; v = o r; a = a r; a, = = m°r; @ = 0o + at; e = 0o t+ 20a = ? - 0,? K= T=rx F; T= rFsino; 1 mR 2 2 ΣτΙα; Ipoint mass = mr? Iaisk = mR? Ipipe = 2 + Rin 12 -mL? 2. Ipall = Ihoop = mR? Irod(center) = Irod(end) = mL? Ishell = dW P =. dt W Pavr = At 2 2 I= Icom + MD² work: W=t 0; W = Rolling: Vcom = Ro K = Vcom ? T= f,R F,,max = H,Fn Incline: Fg mgsin0 Fg mgcos0 Angular momentum: Lpoint mass = m rxv L= mrysin 0: L=m (r,vy - ryVx)k L= Io m,X1 +m2x2 m, +m2 mıy1+m2y 2 m1 +m2 LI= Lr I o =I 202 X com y com = 3. A merry-go-round rotates from rest with an angular acceleration of 1.56 rad/s2. How long does it take to rotate through the first 2 rev? A) 2 s В) 4 s C) 6 s D) 8 s E) 10 s 4. A wheel, with radius R = 0.5 m, initially has an angular velocity of 2.5 rev/s, and is slowing down at a rate of 2 rad/s?. By the time it stops spinning about its center, what distance will a point on the outer rim have traveled?. A) 12 m B) 18 m
Transcribed Image Text:v? Circular motion: ac = Weight: Fg = mg, ; g= 9.8 m/s?; Payr = At = ma; Kinetic energy: K= m v²; Potential energy: Ug = mgy E = Er E = U+K v2 Rotational motion: 1 rev = 2n rad; v = o r; a = a r; a, = = m°r; @ = 0o + at; e = 0o t+ 20a = ? - 0,? K= T=rx F; T= rFsino; 1 mR 2 2 ΣτΙα; Ipoint mass = mr? Iaisk = mR? Ipipe = 2 + Rin 12 -mL? 2. Ipall = Ihoop = mR? Irod(center) = Irod(end) = mL? Ishell = dW P =. dt W Pavr = At 2 2 I= Icom + MD² work: W=t 0; W = Rolling: Vcom = Ro K = Vcom ? T= f,R F,,max = H,Fn Incline: Fg mgsin0 Fg mgcos0 Angular momentum: Lpoint mass = m rxv L= mrysin 0: L=m (r,vy - ryVx)k L= Io m,X1 +m2x2 m, +m2 mıy1+m2y 2 m1 +m2 LI= Lr I o =I 202 X com y com = 3. A merry-go-round rotates from rest with an angular acceleration of 1.56 rad/s2. How long does it take to rotate through the first 2 rev? A) 2 s В) 4 s C) 6 s D) 8 s E) 10 s 4. A wheel, with radius R = 0.5 m, initially has an angular velocity of 2.5 rev/s, and is slowing down at a rate of 2 rad/s?. By the time it stops spinning about its center, what distance will a point on the outer rim have traveled?. A) 12 m B) 18 m
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