See attached At takeoff a commercial jet has a 70.0 m/s speed. Its tires have a diameter of 0.850 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 1015 kg bacterium cling to the rim?(d) Take the ratio of this force to the bacterium's weight.(force from part (c) / bacterium's weight)

(a) To find the revolution per minute consider the expression for angular velocity, ω=vr…

At takeoff a commercial jet has a 70.0 m/s speed. Its tires have a diameter of 0.850 m. (a) At how many rpm are the tires rotating? грm (b) What is the centripetal acceleration at the edge of the tire? m/s? (c) With what force must a determined 10°15 kg bacterium cling to the rim?

At takeoff a commercial jet has a 70.0 m/s speed. Its tires have a diameter of 0.850 m. (a) At how many rpm are the tires rotating? грm (b) What is the centripetal acceleration at the edge of the tire? m/s? (c) With what force must a determined 10°15 kg bacterium cling to the rim?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section5.3: Nonuniform Circular Motion

Problem 5.5QQ: Which of the following is impossible for a car moving in a circular path? Assume that the car is...

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 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
An office door is given a sharp push and swings open against a pneumatic device that slows the door down and then reverses its motion. At the moment the door is open the widest, (a) does the doorknob have a centripetal acceleration? (b) Does it have a 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.
As their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g, where g = 9.80 m/s2. In their training, astronauts ride in a device where they experience such an acceleration as a centripetal acceleration. Specifically, the astronaut is fastened securely at the end of a mechanical arm, which then turns at constant speed in a horizontal circle. Determine the rotation rate, in revolutions per second, required to give an astronaut a centripetal acceleration of 3.00g while in circular motion with radius 9.45 m.
A car of mass 1 230 kg travels along a circular road of radius 60.0 m at 18.0 m/s. (a) Calculate the magnitude of the cars centripetal acceleration. (b) What is the magnitude of the force of static friction acting on the car? (See Section 7.4.)
A new car is tested on a 280-m-diameter track. If the car speeds up at a steady 1.5 m/s^2 , how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?
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?
A cyclist On & circular track of radius r = 240 m is traveling at 8 m/s His speed in the tangential direction (i.e, the direction of his travel) increases at the rate of 1 m/s?. What Is most nearly the cyclist's total acceleration? (A) -0.9 m/s? (B) 0.7 m/s? (C) 0.9 m/s? (D) 1.0 m/s?
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)
One way to create artificial gravity in a space station is to spin it. If a cylindrical space station 350 m in diameter is to spin about its central axis, at how many revolutions per minute (rpm) must it turn so that the outermost points have an acceleration equal to g? Express answer in revolutions per minute.
A 50.0-kg child stands at the rim of a merry-go-round of radius 2.85 m, rotating with an angular speed of 3.25 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? (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? Yes No