You are pulling on the string of a small toyyo-yo on the floor. The toy has a radius of 8.00 cm. It starts at rest, and you give it a constant acceleration of 2.50 rads/sec?. Find the LINEAR velocity after 6.00 sec.
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- Hungarian Adrian Annus won the gold medal for thehammer throw at the 2004 Olympics in Athens with a winningdistance of 83.19 meters.* The event consists of swinging a16-pound weight attached to a wire 190 centimeters long ina circle and then releasing it. Assuming his release is at a 45°angle to the ground, the hammer will travel a distance ofv02/gmeters, where g = 9.8 meters/second2and v0 is the linearspeed of the hammer when released. At what rate (rpm) washe swinging the hammer upon release?a car has a constant acceleration , start from rest untill vf=22 m/s in 9 s , if the tire radius is 58 cm , calculate : a) The number of possible turns of the wheels during normal vehicle movement assuming no slip . b) the speed of wheels turn in ( rev/s )One end of a cord is fixed and a small 0.700-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.50 m, as shown in the figure below. When? = 24.0°, the speed of the object is 6.50 m/s. (a) At this instant, find the magnitude of the tension in the string.N(b) At this instant, find the tangential and radial components of acceleration. at = m/s2 downward tangent to the circle ac = m/s2 inward (c) At this instant, find the total acceleration.inward and below the cord at °(d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? Yes No (e) Explain your answer to part (d).
- How fast (in rpm) must a centrifuge rotate if a particle 9.50 cm from the axis of rotation is to experience an acceleration of 117000 g's? If the answer has 4 digits or more, enter it without commas, e.g. 13500.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.You are at a playground with a merry-go-round, which is initially sitting still. You push on it, causing it to accelerate in the angle at a rate of 1.2 rad/s2. If you push for 3 seconds How many radians will the merry-go-round have turned through during that time?
- One end of a cord is fixed and asmall 0.500-kg object is attached to theother end, where it swings in a section of avertical circle of radius 2.00 m, as shown inFigure P7.19. When θ = 20.0°, the speed ofthe object is 8.00 m/s. At this instant, find(a) the tension in the string, (b) the tangentialand radial components of acceleration,and (c) the total acceleration. (d) Isyour answer changed if the object is swinging down towardits lowest point instead of swinging up? (e) Explain youranswer to part (d).A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center (seefigure below). The linear speed of a passenger on the rim is constant and equal to 7.00 m/s.A centrifuge in a forensic investigation laboratory rotates at an angular speed of 3,650 rev/min, clockwise (when viewed from above). When switched off, it rotates through 48.0 revolutions before coming to rest. Assuming it is constant, what is the magnitude of angular acceleration (in rad/s2)?
- If you are driving at a German motorway at 262 km/h, what radius of curvature (in m) of a curve is needed, if the acceleration should be limited to g≈10 m/s^2 (assuming uniform rotational motion)?One end of a cord is fixed and a small 0.550-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.50 m, as shown in the figure below. When ? = 17.0°, the speed of the object is 6.00 m/s. At this instant, find the total acceleration and degree below the cord.The clutch system is used to transmit torque through a 2-mm-thick oil film with m = 0.38 N?s/m2 between two identical 30-cm-diameter disks. When the driving shaft rotates at a speed of 1450 rpm, the driven shaft is observed to rotate at 1398 rpm. Assuming a linear velocity profile for the oil film, determine the transmitted torque.