Sylvia and Jadon now want to work a problem. Imagine a puck of mass 0.5 kg moving as in the simulation. Suppose that the tension in the string is 4.0 N, and that the radius of its circular path is 0.7 m. What will Jadon and Sylvia find for the tangential speed of the puck?
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Sylvia and Jadon now want to work a problem. Imagine a puck of mass 0.5 kg moving as in the simulation. Suppose that the tension in the string is 4.0 N, and that the radius of its circular path is 0.7 m. What will Jadon and Sylvia find for the tangential speed of the puck?
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- A skater starts the jump moving forward as shown, leaps into the air, and turns one-and-a-half revolutions before landing. The typical skater is in the air for about 0.5 s, and the skater’s hands are located about 0.8 m from the rotation axis. What is the approximate speed of the skater’s hand?A. 1 m/s B. 3 m/s C. 9 m/s D. 15 m/sAn amusement park ride consists of a large vertical cylinder thatspins about its axis fast enough such that any person inside is heldup against the wall when the floor drops away. The coefficient ofstatic friction between person and wall is 0.25 and the radius of thecylinder is 7m. (a) How many minimum revolutions per minute does the cylindermake? (b) Calculate the angular velocity and frequency of the motion atthis condition. (c) What is the effect of the mass of the person on the time period,radial acceleration and tangential acceleration.An ultracentrifuge accelerates from rest to 100,000 rpm in 2.0 min. (a)What is its angular acceleration? (b)What is the tangential acceleration of a point 9.5 cm from the axis of rotation? (c)What is the radial (centripetal) acceleration in multiples of g of this point? [Answer: (a)87 rad/s2; (b)8.3 m/s2; (c)1.1×106] show work
- A student conducts an experiment in which a ball is spun in a vertical circle from a string of length 1 m, as shown in the figure. The student uses the following equation to predict the force of tension exerted on the ball whenever it reaches the lowest point of its circular path at a known tangential speed for various trials. ????????=? ?^2/r When the experiment is conducted, the student uses a force probe to measure the actual force of tension exerted on the ball.You are swinging a sling shot, which is basically a string tied to a rock, vertically as shown. After you get it going fairly fast, you hold your hand stationary so it swings around in a perfect circle. The rock slows down as it gets higher and speeds up as it comes back down. One simple model for how this would work is that the tangential component of the rock's velocity isvt(t)=v0-(v0/4)sin((2pi/T)t) where v0 is the rock's speed at t=0s and T is the time it takes the rock to go all the way around the circle. Call L the length of the string. 1. What is the total acceleration of the rock? 2. What is the angular Acceleration?You are swinging a sling shot, which is basically a string tied to a rock, vertically as shown. After you get it going fairly fast, you hold your hand stationary so it swings around in a perfect circle. The rock slows down as it gets higher and speeds up as it comes back down. One simple model for how this would work is that the tangential component of the rock's velocity isvt(t)=v0-(v0/4)sin((2pi/T)t) where v0 is the rock's speed at t=0s and T is the time it takes the rock to go all the way around the circle. Call L the length of the string. 1. What is the algebraic expression for the angular speed of the rock? 2. What is the centripetal acceleration of the rock? 3. What is the tangential acceleration of the rock? 4. What is the total acceleration of the rock? 5. What is the angular Acceleration?
- 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? (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?A carosel at the local carnival rotates once every 45 seconds. (a) What is the linear velocity of an outer horse on the carosel, which is 2.75 m from the axis of rotation? (b) What is the linear speed of an inner horse that is 1.75 m from the axis of rotation?A bicycle with 0.80-m-diameter tires is coasting on a level road at 5.6 m/s. A small blue dot has been paintedon the tread of the rear tire. Part A: What is the angular speed of the tires?Express your answer in radians per second. Part B: What is the speed of the blue dot when it is 0.80 m above the road?Express your answer in meters per second. Part C: