At takeoff a commercial jet has a 70.0 m/s speed. Its tires have a diameter of 0.400 m. (a) At how many rpm are the tires rotating? rpm (b) What is the centripetal acceleration at the edge of the tire? m/s2 (c) With what force must a determined 10-15 kg bacterium cling to the rim? N (d) Take the ratio of this force to the bacterium's weight. ] (force from part (c) / bacterium's weight)

At takeoff a commercial jet has a 70.0 m/s speed. Its tires have a diameter of 0.400 m. (a) At how many rpm are the tires rotating? rpm (b) What is the centripetal acceleration at the edge of the tire? m/s2 (c) With what force must a determined 10-15 kg bacterium cling to the rim? N (d) Take the ratio of this force to the bacterium's weight. ] (force from part (c) / bacterium's weight)

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter6: Uniform Circular Motion And Gravitation

Section: Chapter Questions

Problem 20PE: At takeoff, a commercial jet has a 60.0 m/s speed. Its tires have a diameter of 0.850 m. (a) At how...

See similar textbooks

Similar questions

Which of the following is impossible for a car moving in a circular path? Assume that the car is never at rest. (a) The car has tangential acceleration but no centripetal acceleration. (b) The car has centripetal acceleration but no tangential acceleration. (c) The car has both centripetal acceleration and tangential acceleration.
A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700 m/s in 1.75 s. At t = 1.25 s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, and (c) the total acceleration of the point.
A large centrifuge, like the one shown in Figure 6.37(a), is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries. (a) At what angular velocity is the centripetal acceleration 10 g if the rider is 15.0 m from the center of rotation? (b) The rider's cage hangs on a pivot at the end of the arm, allowing it to swing outward during rotation as shown in Figure 6.37(b). At what angle below the horizontal will the cage hang when the centripetal acceleration is 10 g? (Hint: The arm supplies centripetal force and supports the weight of the cage. Draw a free body diagram of the forces to see what the angle should be.) Figure 6.37 (a) NASA centrifuge used to subject trainees to accelerations similar to those experienced in rocket launches and reentries. (credit: NASA) (b) Rider in cage showing how the cage pivots outward during rotation. This allows the total force exerted on the rider by the cage to be along its axis at all times.
A Formula One race car with mass 750.0 kg is speeding through a course in Monaco and enters a circular turn at 220.0 km/h in the counterclockwise direction about the origin of the circle. At another part of the course, the car enters a second circular turn at 180 km/h also in the counterclockwise direction. If the radius of curvature of the first turn is 130.0 m and that of the second is 100.0 m, compare the angular momenta of the race car in each turn taken about the origin of the circular turn.
An ultracentrifuge accelerates from to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in rad/s2 ? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the centripetal acceleration in m/s2 and multiples of g of this point at full rpm? (d) What is the total distance travelled by a point 9.5 cm from the axis of totation of the ultracentrifuge?
At takeoff, a commercial jet has a 60.0 m/s speed. Its tires have a diameter of 0.850 m. (a) At how many rev/min are the tires rotating? (b) What is the centripetal acceleration at the edge of the tire? (c) With what force must a determined 1.001015 kg bacterium cling to the rim? (d) Take the ratio of this force to the bacterium's weight.
A single bead can slide with negligible friction on a stiff wire that has been bent into a circular loop of radius 15.0 cm as shown in Figure P5.59. The circle is always in a vertical plane and rotates steadily about its vertical diameter with a period of 0.450 s. The position of the bead is described by the angle θ that the radial line, from the center of the loop to the bead, makes with the vertical. (a) At what angle up from the bottom of the circle can the bead stay motionless relative to the turning circle? (b) What If ? Repeat the problem, this time taking the period of the circle’s rotation as 0.850 s. (c) Describe how the solution to part (b) is different from the solution to part (a). (d) For any period or loop size, is there always an angle at which the bead can stand still relative to the loop? (e) Are there ever more than two angles? Arnold Arons suggested the idea for this problem. Figure P5.59
Review. The 20-g centrifuge at NASAs Ames Research Center in Mountain View, California, is a horizontal, cylindrical tube 58.0 ft long and is represented in Figure P4.37. Assume an astronaut in training sits in a seal at one end, facing the axis of rotation 29.0 ft away. Determine the rotation rate, in revolutions per second, required to give the astronaut a centripetal acceleration of 20.0g.
At takeoff, a commercial jet has a speed of 68 m/s. Its tires have a diameter of 0.88 m. a. At how many rev/min are the tires rotating? b. What is the centripetal acceleration at the edge of the tire in m/s2 c. With what force must a deterimned 1.15 * 10-15 kg bacetrium cling to the rim in N? d. Take the ratio of this force to the bacterium's weight
A 50.0 kg child stands at the rim of a merry-go-round of radius 2.20 m, rotating with an angular speed of 2.80 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 merry-go-round 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 be able to stay on the merry-go-round?
A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating with an angular speed of 3.00 rad/s. (a) What is the child’s centripetal acceleration? (Ans : 18.0 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? (Ans : 900 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? (Ans : 1.84)
Starting from a standstill, a windmill-style softball pitcher executed a pitch in 0.6 s. If her pitching arm is 0.75 m long and the tangential ball speed is 25 m/s, what is the magnitude of the total acceleration on the ball at this point?