8.1 What is the wheel's initial translational kinetic energy? 8.2 What is the wheel's initial rotational kinetic energy? 8.3 What is the wheel's initial gravitational potential energy?
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A: Given Moment of inertia = 84.4 kgm2 radius r =1.5 m Torque =375 Nm
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A: mass of cylinder pulley (m) = 40 kg radius (r) = 0.2 m angular speed (ω) = 4 rads
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A: 31) the expression for the balancing moment with respect to the point where normal force is acting.
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A: Let Initial Rotational Inertia or Moment of Inertia of star = I Hence final moment of inertia = I/4
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Q: Consider a father pushing a child on a playground merry-go-round. The system has a moment of inertia…
A: Given, Moment of inertia, I= 84.4 kg m2, radius, r= 1.5 m, torque, τ=375 N m.
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A: Given : M = 30.1 kg a = 0.836 m b = 1.34 m c = 0.0995 m
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A: Given Data:- Mass of the wheel is m=10 kg Radius of the wheel is r=0.5 m Angular speed of the wheel…
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A: initial angular velocity = 1 revolution per 4.8 sec angular acceleration = 0.2 rad/s2time = 8 sec
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A: Recall τ=Iα=net torqueAlso τ=Fr
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- The following figure shows the cross section of a cylinder of radius 4.4 m rotating about its axis at 8.3 rad/s. The speed of the point P is: P O a. 114.73 rad/s O b. Can not be determined O c. 114.73 m/s O d. 36.52 rad/s O e. 36.52 m/s3.6% Resources veUp? V Hint A spherical shell of radius 2.84 cm and a sphere of radius 6.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are have the same total kinetic energy, what should the ratio of the spherical shell's angular speed @shi to the sphere's angular speed wsph be? Wshl @sph about us privacy policy terms of use contact us help careers8. If an object is rotating at an acceleration of 6.2 rad/s?, solve the following: a. What is the angular position at 32.5 s? b. If the object was initially moving at 2.3 rad/s, what is the final angular velocity?
- A grinding wheel is a uniform cylinder with a radius of 8.25 cmcm and a mass of 0.400 kgkg . Part A. Calculate its moment of inertia about its center. Part B. Calculate the applied torque needed to accelerate it from rest to 1700 rpmrpm in 4.50 ss if it is known to slow down from 1750 rpmrpm to rest in 55.5 ss .Answer the following question You are given four objects. A Solid cylinder, a thin-walled hollow cylinder, a solid sphere, and a hollow sphere. All of them have the same mass ?m, and radius ?R. They are all put on an incline plane of hight ℎh, and angle ?θ. 1a) Derive a formula for the final speed at the bottom of the ramp in terms of ?,?,ℎ,?m,R,h,I, and ?θ. 1b) Which one will get to the bottom first? (Hint: ?I is for Rotational Inertia).8. SITUATIONAL QUESTION At t = 0, a grinding wheel has an angular velocity of 25 rad/s. It has a constant angular acceleration of 32 rad/s2 until a circuit breaker trips at t = 2.5 seconds. From then on, it turns through 423 rad as it coasts to a stop at constant angular acceleration. Through what total angle did the wheel turn between t=0 and the time it stopped? a. 108rad b. 540rad c. 114rad d. 537rad At what time did it stop? a. 12.186 s b. 10.186 s c. 11.506 s d. 9.506 s A carousel is initially at rest. At t = 0, it is given a constant angular acceleration a 0.058 rad/s2, which increases its angular velocity for 9.0 s. At t = 9 s, determine the total acceleration of a child 3.5m from the center of the carousel. a. 0.975 m/s2 b. 0.954 m/s2 c. 0.957 m/s2 d. 0.945 m/s2 8i. 8ii. 8iii.
- A bowling ball rolls without slipping at a speed of vi. It encounters a ramp of verticle height h. Treat the ball as a uniform, solid sphere. 1. Write an Expression for the speed of the ball when it reaches the top of the ramp in terms of g, h, and vi. 2. Write an expression for hmax where the ball just reaches the top of the ramp in terms of g and vi.An electric motor turns at 1200 RPM while delivering a torque of 20 in-lb. a. What is the angular velocity (rad/s)? b. What is the power (inch pounds per second)? c. What is the power (foot pounds per second)? d. What is the power (horsepower)? e. What is the power (watts)? Hint: 1 hp = 745.7WA wheel initially has an angular velocity of 6.3 rad/s but it is slowing at a rate of 2.2 rad/s2. By the :time it stops it will have turned through an angle of (in radians) 18.04 .a O 9.02 .b O 36.08.c O 4.51.d O
- An engineer trying to determine whether or not her crane can lift loads (at the position shown). Her crane has a 5K chassis and 40K counterweght. Assume all other parts of the crane have negligible weight. 5ft Anwwer all questions relative to the rotationpoint How much torque is caused by the chassis? unit v How much torgque is caused by the counterweight? unit v How heavy ofa load would "barely balance" the crane? unit v Could the crane lift the foliowing loads without tipping over? 20x 25K yes or nowa centrifuge accelerates at a constance angualr acceleration from rest to 11,000 revolution per minute in 25s. the sample spins at a radius of 0.15m. a. what is the final angular velocity of sample in rad/s? b. what is the angular accelertaion of the sample in rad/s^2? c. what is the tangential acceleration of the sample as the centrifuge spins up? d. what is the centripetal acceleration of the sample at full speed?A uniform solid 5.25-kg cylinder is released from rest and rolls without slipping down an inclined plane inclined at 18 to the horizontal. how fast is it moving after it has rolled 2.2 m down the plane? ans: 3.0 m/s Can you please give reasoning, along with diagram. Thank you