Young David who slew Goliath experimented with slingsbefore tackling the giant. He found that he could re-volve a sling of length 0.600 m at the rate of 8.00 rev/s.If he increased the length to 0.900 m, he could revolvethe sling only 6.00 times per second. (a) Which rate ofrotation gives the greater speed for the stone at the endof the sling? (b) What is the centripetal acceleration ofthe stone at 8.00 rev/s? (c) What is the centripetal ac-celeration at 6.00 rev/s?

(a) Which rate of rotation gives the greater speed for the stone at the end of the sling?The…

Answered: Young David who slew Goliath…

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

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 31P: Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius...

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A centrifuge in a medical laboratory rotates at an angularvelocity of 3 600 rev/min. When switched off, it rotatesthrough 50.0 revolutions before coming to rest. Find the constantangular acceleration (in rad/s2) of the centrifuge.
A marble rolls off a tabletop 1.0 m high and hits the floor at a point 3.0 m away from the table's edge in the horizontal direction. (a) How long is the marble in the air? (b) What is the speed of the marble when it leaves the table's edge? (c) What is its speed when it hits the floor?
You stand on the seat of a chair and then hop off. (a) Duringthe time interval you are in flight down to the floor, theEarth moves toward you with an acceleration of what orderof magnitude? In your solution, explain your logic. Modelthe Earth as a perfectly solid object. (b) The Earth movestoward you through a distance of what order of magnitude?
The power to electric motor rotating at 600 rpm is cut off. If the magnitude deceleration of the centrifuge is 2.3 rad/s2 how many revolutions does it make before coming to rest?
An indestructible bullet 2.00 cm long is fired straight through a board that is 10.0 cm thick. The bullet strikes the board with a speed of 470 m/s and emerges with aspeed of 265 m/s. (To simplify, assume that the bullet accelerates only while the front tip is in contact with the wood.) (a) What is the average acceleration of the bullet through the board? m/s2 (b) What is the total time that the bullet is in contact with the board? (Enter the total time for the bullet to completely emerge from the board.)
Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. For that instant, find (a) the radial acceleration of the particle, (b) the speed of the particle, and (c) its tangential acceleration.
What is the average speed in mi/h of a person at the equator as a result of the Earths rotation? (Take the radius of the Earth to be RE = 4000 mi.)
A go cart shown accelerates along the tract with at = 2t-4m/s2. Its initial ( at t=0s) position is s=0 mand initial velocity is 3 m/s. Determine, at t= 8s ;(a) The magnitude of the acceleration, (b) The position of the go cart along the tract ( give both s and θ ), (c) The total distance taveled along the tract in the first 8 seconds, (d) The acerage speed,(e) The average velocity.
To test the effects of high acceleration onthe human body, the National Aeronautics and Space Administration (NASA) constructed a large centrifuge at the Manned SpacecraftCenter in Houston. In this device, astronauts were placed in a capsulethat moved in a circular path with a radius of 15 m. If the astronautsin this centrifuge experienced a centripetal acceleration 9.0 timesthat of gravity, what was the linear speed of the capsule?
Do part (a) and (b) quickly.
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/s?) of the centripetal acceleration at the tip of a 3.00 m long helicopter blade that rotates at 240 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
The athlete shown in Figure P4.25 rotates a 1.00-kg dis- cus along a circular path of radius 1.06 m. The maximum speed of the discus is 20.0 m/s. Determine the magni- tude of the maximum radial acceleration of the discus.

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