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Chapter 8: Torque. Recall: Angular Kinematics ω = ω_0 + α t ω^2 = (ω_0)^2 + 2 α θ θ = ω_0 t + (1/2) α t^2.

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Presentation on theme: "Chapter 8: Torque. Recall: Angular Kinematics ω = ω_0 + α t ω^2 = (ω_0)^2 + 2 α θ θ = ω_0 t + (1/2) α t^2."— Presentation transcript:

1 Chapter 8: Torque

2 Recall: Angular Kinematics ω = ω_0 + α t ω^2 = (ω_0)^2 + 2 α θ θ = ω_0 t + (1/2) α t^2

3 On a hot summer day, you go home and turn on the ceiling fan in your living room. Each fan blade is 47 cm long. Starting from rest, the blades speed up uniformly to an angular speed of 18.8 rad/s in a time of 4.3 s. What is the angular acceleration of the fan blades? 1.4.4 rad/s^2 2..69 rad/s^2 3.170 rad/s^2 4.40 rad/s^2

4 On a hot summer day, you go home and turn on the ceiling fan in your living room. Each fan blade is 47 cm long. Starting from rest, the blades speed up uniformly to an angular speed of 18.8 rad/s in a time of 4.3 s. Through how many revolutions did the fan blades travel? 1.40.4 rev 2.6.4 rev 3.1.0 rev 4.254 rev

5 On a hot summer day, you go home and turn on the ceiling fan in your living room. Each fan blade is 47 cm long. Starting from rest, the blades speed up uniformly to an angular speed of 18.8 rad/s in a time of 4.3 s. What is the centripetal (radial) acceleration of a point on the tip of the fan blade at 4.3 s? 1.2.1 m/s^2 2.19 m/s^2 3.170 m/s^2 4.4.4 m/s^2

6 On a hot summer day, you go home and turn on the ceiling fan in your living room. Each fan blade is 47 cm long. Starting from rest, the blades speed up uniformly to an angular speed of 18.8 rad/s in a time of 4.3 s. What is the tangential acceleration at this time? 1.2.1 m/s^2 2.19 m/s^2 3.170 m/s^2 4.4.4 m/s^2

7 TORQUE You are trying to loosen a stubborn bolt. To do this, you place a pipe over the end of your wrench and pull with a force of 55 N at an angle of 60 degrees, as shown in the figure.

8 Andrea and Chuck are riding on a merry-go-round. Andrea rides on a horse at the outer rim of the circular platform, twice as far from the center of the circular platform as Chuck, who rides on an inner horse. When the merry-go-round is rotating at a constant angular speed, Andrea's angular speed is: 1.twice Chuck's. 2.the same as Chuck's. 3.half of Chuck's. 4.impossible to determine.

9 Andrea and Chuck are riding on a merry-go-round. Andrea rides on a horse at the outer rim of the circular platform, twice as far from the center of the circular platform as Chuck, who rides on an inner horse. When the merry-go-round is rotating at a constant angular speed, Andrea's tangential speed is: 1.twice Chuck's. 2.the same as Chuck's. 3.half of Chuck's. 4.impossible to determine.

10 1.1/2 2.1/4 3.2 4.4 5.The tangential acceleration is zero at both points A race track is constructed such that two arcs of radius 80m at A and 40m at B are joined by two stretches of straight tracks as in the figure. In a particular trial run, a driver traveled at a constant speed of 50 m/s for one complete lap. In this case, the ratio of the tangential acceleration at A to that at B is

11 1.1/2 2.1/4 3.2 4.4 5.The centripetal acceleration is zero at both points. A race track is constructed such that two arcs of radius 80m at A and 40m at B are joined by two stretches of straight tracks as in the figure. In a particular trial run, a driver traveled at a constant speed of 50 m/s for one complete lap. In this case, the ratio of the centripetal acceleration at A to that at B is

12 1.A 2.B 3.It is equal at both A and B. A race track is constructed such that two arcs of radius 80m at A and 40m at B are joined by two stretches of straight tracks as in the figure. In a particular trial run, a driver traveled at a constant speed of 50 m/s for one complete lap. In this case, the angular speed is greatest at


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