Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip. (For each answer, enter a number.) (a) Calculate the magnitude (in m/s2) of the centripetal acceleration at the tip of a 3.40 m long helicopter blade that rotates at 295 rev/min. m/s? (b) Compare the linear speed of the tip with the speed of sound (taken to be 340 m/s). Vtip/V sound =

Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip. (For each answer, enter a number.) (a) Calculate the magnitude (in m/s2) of the centripetal acceleration at the tip of a 3.40 m long helicopter blade that rotates at 295 rev/min. m/s? (b) Compare the linear speed of the tip with the speed of sound (taken to be 340 m/s). Vtip/V sound =

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...

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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.
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 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
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 fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has an 6.00 m radius, at how many revolutions per minute will the riders be subjected to a centripetal acceleration whose magnitude is 2.6 times that due to gravity?
A military jet is flying at 268 m/s in a tight circular turn. If the military jet reaches a centripetal acceleration of 10.0 times the free-fall acceleration, what must the radius of its turn be?
Question 4 (4.1)A ball is launched at an angle of 30o above the horizontal with an initial velocity of 8m/s. At what time is its vertical velocity 0ms? (4.2) The angular velocity of a body moving with a constant speed v in a circle of radius r is given by
The aorta is a major artery, rising upward from the left ventricle of the heart and curving down to carry blood to the abdomen and lower half of the body. The curved artery can be approximated as a semicircular arch whose diameter is 5.3 cm. If blood flows through the aortic arch at a speed of 0.40 m/s, what is the magnitude (in m/s2) of the blood's centripetal acceleration?
An automobile with tires that have a radius of 0.260 m travels 64000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?
A 10.7 kN car travelling at 13.4 m/s attempts to round an unbanked curve with a radius of 70 m. What force of friction is required to keep the car on its circular path?
An aerobatic airplane flying at a constant 60.0 m/s makes a horizontal turn of radius 225 m. The pilot has mass 80.0 Kg. What is the pilot's apparent weight during the turn ?