Centripetal acceleration is given by the formula,
,
where a is the acceleration,
is the angular velocity and r is the radial distance from the
center of the rotation. Now for any instance
is same for both of them, then,
- acceleration and radial distance is directly proportional.
As Sarah's distance is twice of Tom's distance from center, then according to the proportionality rule, Sarah's centripetal acceleration is twice than tom.
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Sarah and Tom are riding on a merry-go-round revolving at a constant rate. Sarah is sitting...
You are sitting on a merry-go-round that is accelerating with a constant angular acceleration. As the merry-go-round goes faster, which of the following is not increasing? A)Angular Velocity B)Tangential Acceleration C)Centripetal Acceleration D) Tangential Velocity E) All are increasing
Part A Max (15 kg) and Maya (12 kg) are riding on a merry-go-round that rotates at a constant speed. Max is sitting on the edge of the merry-go-round, 2.4 m from the center, and Maya is 1.2 m from the center. Considering Max and Maya to be one system of masses, what is their moment of inertia measured with respect to the center of the merry-go-round? O 1500 kg.m2 0 17 kg-m2 O50 kg.m2 O 104 kg-m2 86 kg-m2...
Alex and Riley are two kids standing on a merry-go-round. Alex has half the mass of Riley and is standing at the very edge of the merry-go-round. Riley is standing halfway between the edge and the center of the merry-go-round. The merry-go-round is turning at a constant rate. Which of the following are true? (Select all that apply.) Alex has the larger moment of inertia on the merry-go-round. Riley has the greater angular velocity. Alex has the larger tangential...
1. (10 pts) A merry-go-round is spinning as indicated in the figure. The merry-go-round is slowing down. What are the direction and units of the angular momentum, angular velocity, angular acceleration? What is the direction and units of the centripetal acceleration of someone sitting on the outside? How would you find how long the merry-go-round takes to stop? Direction & Units of Angular Momentum: Direction & Units of Angular Velocity: helly Butward Up + Counterclockwise Direction & Units of Angular...
6.3 Centripetal Force 23. (a) A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What centripetal force must she exert to stay on if she is 1.25 m from its center? (b) What centripetal force does she need to stay on an amusement park merry-go-round that rotates at 3.00 rev/min if she is 8.00 m from its center? (c) Compare each force with her weight.
A 22.0-kg child is riding a playground merry-go-round that is rotating at 50.0 rev/min. a. What centripetal force is exerted if he is 1.25 m from its center? b. What centripetal force is exerted if the merry-go-round rotates at 3.0 rev/min and he is 5.0 m from its center? c. Compare each force with his weight.
A child sitting 1.90 m from the center of a merry-go-round moves with a speed of 2.15 m/s . Part A: Calculate the centripetal acceleration of the child. Part B: Calculate the net horizontal force exerted on the child. (mass = 28.5 kg )
Three children are riding on the edge of a merry-go-round that is 162 kg, has a 1.60 m radius, and is spinning at 17.3 rpm. The children have masses of 17.4, 29.0, and 32.8 kg. If the child who has a mass of 32.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? rpm An ultracentrifuge accelerates from rest to 100,000 rpm in 2.50 min. (a) What is its angular acceleration in rad/s2?...
23. (a) A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What centripetal force must she exert to stay on if she is 1.25 m from its center? (b) What centripetal force does she need to stay on an amusement park merry-go-round that rotates at 3.00 rev/min if she is 8.00 m from its center? (c) Compare each force with her weight. (d) 23d) Suppose the merry-go-round rotates at 60rpm and the child's friction...
A child riding a merry-go-round feels a centripetal force. How would the force change if the velocity doubled (2x)? 1) Decrease to one quarter (1/4x) 2) Decreases to one half (1/2x) 3) Doubles (2x) 4) Quadruple (4x)