Exercise 7.4 · An electric ceiling fan with blades 0.500 m in diameter is rotating about a fixed axis with an initial angular velocity of 12 rad/s. The angular acceleration is 3.00 rad/s?. (a) Compute the angular velocity after 2 s. (b) Through how many revolutions has blade turned in this time interval? (c) What is the tangential speed of a point on the tip of the blade t=2.00 s?

Exercise 7.4 · An electric ceiling fan with blades 0.500 m in diameter is rotating about a fixed axis with an initial angular velocity of 12 rad/s. The angular acceleration is 3.00 rad/s?. (a) Compute the angular velocity after 2 s. (b) Through how many revolutions has blade turned in this time interval? (c) What is the tangential speed of a point on the tip of the blade t=2.00 s?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

I Review I Constants You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be a uniform disk with radius 35.0 cm. Starting from rest at t = 0, the flywheel rotates with constant angular acceleration 3.00 rad/s? about an axis perpendicular to the flywheel at its center. Part A If the flywheel has a density (mass per unit volume) of 8600 kg/m³, what thickness must it have to store 800 J of kinetic energy at t = 8.00 s? Express your answer with the appropriate units. HA h = Value Units Submit Request Answer
Q.1 The dimensions and configuration of the four bar mechanism, shown in Fig. 1 are as follows : PA = 300 mm; P,B = 360 mm; AB = 360 mm, and P,P, = 600 mm. The angle AP,P, = 60°. The crank P,A has an angular velocity of 10 rad/s, anticlockwise. Determine the angular velocities and angular accelerations of P,B, and AB and the velocity and acceleration of the joint B 360 mm 360 mm 60° P, P2 600 mm Fig. 1 300 mm
Problem 9.58 A uniform disk with radius 0.850 m and mass 30.0 kg rotates in a horizontal plane on a frictionless vertical axle that passes through the center of the disk. The angle through which the disk has turned varies with time according to 0(t) =(1.10 rad/s)t +(6.30 rad/s²)t?. Part A What is the resultant linear acceleration of a point on the rim of the disk at the instant when the disk has turned through 0.100 rev? Express your answer with the appropriate units. HA Value Units = Submit Request Answer Provide Feedback
Problem 10.82 A large turntable with radius 6.00 m rotates about a fixed vertical axis, making one revolution in 8.00 s. The moment of inertia of the turntable about this axis is 1200 kg m2. You stand, barefooted, at the rim of the turntable and very slowly walk toward the center, along a radial line painted on the surface of the turntable. Your mass is 73.0 kg. Since the radius of the turntable is large, it is a good approximation to treat yourself as a point mass. Assume that you can maintain your balance by adjusting the positions of your feet. You find that you can reach a point 3.00 m from the center of the turntable before your feet begin to slip. Part A What is the coefficient of static friction between the bottoms of your feet and the surface of the turntable? ΑΣΦ
Problem 10.98 Part A A runner of mass 53.0 kg runs around the edge of a horizontal turntable mounted on a vertical, frictionless axis through its center. The runner's velocity relative to the earth has magnitude 3.10 m/s. The turntable is rotating in the opposite direction with an angular velocity of magnitude 0.160 rad/s relative to the earth. The radius of the turntable is 3.50 m , and its moment of inertia about the axis of rotation is 76.0 kg m2. Find the final angular velocity of the system if the runner comes to rest relative to the turntable. (You can treat the runner as a particle.) rad/s Submit Request Answer Provide Feedback ics.com/myct/itemView?assignmentProblemiD3D169355967&offset%3Dprev
Problem 10.84 A local ice hockey team has asked you to design an apparatus for measuring the speed of the hockey puck after a slap shot. Your design is a 2.00-m-long, uniform rod pivoted about one end so that it is free to rotate horizontally on the ice without friction. The 0.400 kg rod has a light basket at the other end to catch the 0.163 kg puck. The puck Part A slides across the ice with velocity v (perpendicular to the rod), hits the basket, and is caught. After the collision, the rod rotates. If the rod makes one revolution every 0.736 s after the puck is caught, what was the puckD's speed just before it hit the rod? Express your answer with the appropriate units. HÀ Value Units
Problem 11.73 Water drives a waterwheel (or turbine) of radius 3.0 m as shown in the figure (Figure 1). The water enters at a speed vi = 7.5 m/s and exits from the waterwheel at a speed vz = 3.6 m/s If 85 kg of water passes through per second, what is the rate at which the water delivers angular momentum to the waterwheel? Express your answer using two significant figures. 圖] ? AL - kg m?/s? At Submit Request Answer Part B What is the torque the water applies to the waterwheel? Express your answer using two significant figures. 画] T = m- N Submit Request Answer Figure < 1 of 1 Part C If the water causes the waterwheel to make one revolution every 5.4 s, how much power is delivered to the wheel? Express your answer using two significant figures. ? P = W
Problem 16.10 Part A At the instant w = 7 rad/s. pulley A is given a constant angular acceleration o, 5 rad/s². Pulley C has an inner hub which is fixed to its outer one and turns with it. Determine the magnitude of acceleration of point B on pulley C when A rotates 2 revolutions. Express your answer to three significant figures and include the appropriate units. ag= Value Submit Provide Feedback Request Answer Units 50 mm ? ^ 60 mm 3 of 5 B Review 40 mm Next >
Problem 12.79 8 of 11 > A 190 g, 45.0-cm-diameter turntable rotates on frictionless bearings at 70.0 rpm . A 25.0 g block sits at the center of the turntable. A compressed spring shoots the block radically outward along a frictionless groove in the surface of the turntable. I Review I Constants Part A What is the turntable's rotation angular velocity when the block reaches the outer edge? Express your answer with the appropriate units. HA ? Value Units Submit Request Answer Next> Provide Feedback
Problem 9.73 A meter stick with a mass of 0.156 kg is pivoted about one end so it can rotate without friction about a horizontal axis. The meter stick is held in a horizontal position and released. As it swings through the vertical, calculate Part A As it swings through the vertical, calculate the change in gravitational potential energy that has occurred. Express your answer in joules. E = J Submit Request Answer Part B Calculate the angular speed of the stick. Express your answer in radians per second. rad/s Submit Request Answer Part C Calculate the linear speed of the end of the stick opposite the axis. Express your answer in meters per second. να ΑΣφ MacBook Air esc 80 888 F1 F2 DI DD F3 F4 F5 F6 F7 F9 F10 #3 2$ & 1 7 8. Q W R T Y D G H J K C V M Al
I Review | Constants A thin, uniform rod is bent into a square of side length a. Part A If the total mass is M, find the moment of inertia about an axis through the center and perpendicular to the plane of the square. Use the parallel-axis theorem. Express your answer in terms of the variables M and a. ΑΣφ Submit Request Answer II
EXAMPLE 1.11.1 A honeybee hones in on its hive in a spiral path in such a way that the radial distance decreases at a constant rate, r =b - ct, while the angular speed increases at a constant rate, Ô = kt. Find the speed as a function of time.