A model airplane of mass 0.750 kg flies with a speed of 35.0 m/s in a horizontal circle at the end of a 60.0-m con- trol wire as shown in Figure P7.60a. The forces exerted on the airplane are shown in Figure P7.60b; the tension in the control wire, 0 = 20.0° inward from the vertical. Compute the tension in the wire, assuming the wire makes a constant angle of 0 = 20.0° with the horizontal. Circular path of airplane lift Wire | mg Б Figure P7.60

A model airplane of mass 0.750 kg flies with a speed of 35.0 m/s in a horizontal circle at the end of a 60.0-m con- trol wire as shown in Figure P7.60a. The forces exerted on the airplane are shown in Figure P7.60b; the tension in the control wire, 0 = 20.0° inward from the vertical. Compute the tension in the wire, assuming the wire makes a constant angle of 0 = 20.0° with the horizontal. Circular path of airplane lift Wire | mg Б Figure P7.60

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

A speedboat with a mass of 545 kg545 kg (including the driver) is tethered to a fixed buoy by a strong 32.7 m32.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 13700 N,13700 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m)×?2,(450 kg/m)×v2, where ?v denotes the boat's speed. Ignore any drag force on the cable.
A model airplane of mass 0.760 kg flies with a speed of 35.0 m/s in a horizontal circle at the end of a 66.0-m control wire as shown in Figure (a). The forces exerted on the airplane are shown in Figure (b): the tension in the control wire, the gravitational force, and aerodynamic lift that acts at 0 = 20.0° inward from the vertical. Compute the tension in the wire, assuming it makes a constant angle of 8 = 20.0° with the horizontal. N Figure (a) Circular path of airplane Wire Figure (b) T Flift mg Ⓡ
A speedboat with a mass of 505 kg (including the driver) is tethered to a fixed buoy by a strong 29.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 12300 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m) × v², where v denotes the boat's speed. Ignore any drag force on the cable. force: N & TOOLS x10
You are swinging a 0.25 kg water balloon vertically. The distance from your shoulder (acting as the center of rotation) and the water balloon is about 0.65 m. You estimate the water balloon is traveling at 7.0 m/s. At the very top of the circular path, how much force is your hand holding the water balloon? Enter absolute value. Hint: the water balloon is experiencing uniform circular motion.
A 50.0 kg child stands at the rim of a merry-go-round of radius 1.70 m, rotating with an angular speed of 2.95 rad/s. (a) What is the child's centripetal acceleration? m/s2(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? N(c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round?
A small ball is attached to one end of light rope that has a length of 4.0 m. The other end of the rope is attached to the ceiling. The ball is held with the rope horizontal and released from rest. The ball moves in the motion of an arc of the circle. When the ball is at its lowest point, with the rope vertical, the tesion of the rope is 15.5 N. What is the mass of the ball?
a. What is the magnitude of acceleration of the block? b. What is the magnitude of the tension force from the block on the cylinder?
At an amusement park, Karen whose mass m is 28.02 is on a car of a Ferris Wheel. The wheel of radius r = 27.45 m is rotating every T = 20.81 s. Find the magnitude of the normal force n on her in N when she is at the lowest point. Keep three significant figures for the answer. g = 9.80 m/s2.
A 1.5-lb slider is propelled upward at A along the fixed curved bar which lies in a vertical plane. If the slider is observed to have a speed of 10.6 ft/sec as it passes position B, determine (a) the magnitude N of the force exerted by the fixed rod on the slider and (b) the rate v at which the speed of the slider is changing (positive if speeding up, negative if slowing down). Assume that friction is negligible. 29 2.8' Answers: N = Ib i ft/sec?
A small block of mass 1.26 kg slides without friction on a horizontal table. Initially it moves in a circle of radius Ro = 0.6 m with a speed 1.5 m/s. It is held in its path by a string that passes through a small hole at the center of the circle. The string is then pulled down a distance of 0.12 m.( Ro - R = 0.12 m.) It is pulled so slowly that the object continues to move in a circle of continually decreasing radius. 1) While the string in pulling in the block, which of the following qualities of the block is conserved (circle all that are correct): a) Rotational kinetic energy (b) Angular momentum c) Linear momentum d) Mechanical energy e) None of the above √/2) What is the final linear speed of the block (in m/sec)? 1.5 m/sec (3) How much work was done by the force that pulled on the string?0.915
A 59.0-kg ice skater is moving at 4.07 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.810 m around the pole. red (a) Determine the magnitude of the force exerted by the horizontal rope on her arms. kN (b) Compare this force with her weight. Frope %3D W Need Help? Read It
A particle of dust lands 48.8 mm from the center of a compact disc (CD) that is 120 mm in diameter. The CD speeds up from rest, and the dust particle is ejected when the CD is rotating at 98.0 revolutions per minute. What is the coefficient of static friction between the particle and the surface of the CD?