A 50.0-kg child stands at the rim of a merry-go-round of radius 2.95 m, rotating with an angular speed of 3.85 rad/s. (a) What is the child's centripetal acceleration?  ___________m/s2 (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?  ___________N (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? _____Yes _____No

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.95 m, rotating with an angular…

A: a) The expression for find centripetal acceleration is ac=v2r=ωr2r=ω2r Insert values in the above…

Q: EXERCISE: Suppose the racecar now slows down uniformly from 60 m/s to 30 m/s in 4.5s to avoid an…

A: Note: According to Bartleby's guideline, first three subparts are to be answered. Please, repost…

Q: A 1.25 g pepperoni rests at a distance of 7.5 cm from the centre of a pizza being spun by the pizza…

A: mass (m) = 1.25 g = 0.00125 kg distance from center (r) = 7.5 cm = 0.075 m Angular speed (ω) = 68…

Q: An ordinary workshop grindstone has a radius of 6.50 cm and rotates at 7000 rpm. (a) Calculate the…

A:

Q: takeoff a commercial jet has a 70.0 m/s speed. Its tires have a diameter of 0.400 m.(a) At how many…

A:

Q: A vehicle rounds a curve whose radius is 20 ft with Vt= 44 f/sec. The vehicle's weight is 2500 lb.…

A: Given values-  Radius=r=20 ftVelocity=Vt=44 ftsecWeight =2500 lb

Q: A 80 Kg man rides a spinning amusement park ride that has a radius of 10.8 m. If the person's…

A: Given data :              Mass of the man , m = 80 kg              Radius , r = 10.8m…

Q: An athlete swings a 3.40-kg ball horizontally on the end of a rope. The ball moves in a circle of…

A: Given that:m=3.40 kgr=0.600 mω=0.650 rev/s

Q: Arrange the listed objects according to their angular speeds, from largest to smallest. a tire of…

A: Angular speed is related with linear speedas  W=VR,  Here  R=Radius of pathAlso   centripetal…

Q: 8. A 50.0-kg child stands at the rim of a merry-go-round of radius 2.85 m, rotating with an angular…

A:

Q: 2. A tether ball tied to a pole by a rope swings in a circular path with a centripetal acceleration…

A: The centripetal acceleration, The tangential speed,

Q: It has been suggested that rotating cylinders about 11.0 mi long and 5.92 mi in diameter be placed…

A: Given: Length of cylinder, L=11 mi = 17702.784 m Diameter of cylinder, d=5.92 mi = 9527.316 m     To…

Q: At takeoff a commercial jet has a 70.0 m/s speed. Its tires have a diameter of 0.400 m. (a) At how…

A: Linear speed of commercial jet (v) = 70 msdiameter of tires (d) = 0.400 m radius of tires (r) =…

Q: 4. A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What…

A:

Q: It has been suggested that rotating cylinders about 17.5 mi long and 6.12 mi in diameter be placed…

A:

Q: An athlete swings a 5.30-kg ball horizontally on the end of a rope. The ball moves in a circle of…

A: Mass of ball (m) = 5.30 kg radius of circle (r) = 0.950 m angular speed (ω) = 0.410 rev/sec

Q: fixed axis 0.69 m away. The mass is initially at rest and undergoes a constant angular acceleration…

A: Given: The Mass(m)= 0.39 kg. The distance (R)= 0.69 m. The angular acceleration α=4.77 rad/s2 The…

Q: It has been suggested that rotating cylinders about 16.5 mi long and 4.65 mi in diameter be placed…

A: Given data The length of the cylinder is l = 16.5 mi. The diameter of the cylinder is d = 4.65 mi =…

Q: An athlete swings a 6.90-kg ball horizontally on the end of a rope. The ball moves in a circle of…

A: Given: The mass of the ball is 6.9 kg. The radius of the circular path is 0.67 m. The angular speed…

Q: The car A has a forward speed of 19 km/h and is accelerating at 3.7 m/s². Determine the velocity and…

A:

Q: Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 360 rpm, and the piece…

A:

Q: goes in a horizontal circle 25 times in 3.75s. What is the tangential acceleration on the ball if…

A:

Q: It has been suggested that rotating cylinders about 20.0 mi long and 3.53 mi in diameter be placed…

A: It is given that, l=20 mi=32186.9 md=3.53 mir=d2=3.532=1.765 mi=2840.4922 m

Q: A 19.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rpm. (a) What…

A:

Q: It has been suggested that rotating cylinders about 17.0 mi long and 4.55 mi in diameter be placed…

A:

Q: A wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 17 s. Its blades…

A: As per our guidelines, we are supposed to answer only first three subparts in case of multiple…

Q: A wheel with a tire mounted on it rotates at the constant rate of 3.43 revolutions per second. A…

A:

Q: It has been suggested that rotating cylinders about 16.5 mi long and 3.60 mi in diameter be placed…

A:

Q: A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall…

A:

Q: It has been suggested that rotating cylinders about 20.0 mi long and 5.69 mi in diameter be placed…

A:

Q: 11) At takeoff a commercial jet has a 75.0 m/s speed. Its tires have a diameter of 0.700 m.   (a) At…

A:

Q: In a DVD player the centripetal acceleration is measured to be 100 m/s^2 , at a point that is .02 m…

A: The centripetal acceleration at a point at r distance on a disc  from its center can be expressed as…

Q: A child rides a scooter in a circular path with a radius of 3.0 m. The tangential speed of the…

A: radius (R) = 3 m v= 3 msmass of child and scooter(m) = 45 kg

Q: It has been suggested that rotating cylinders about 17.5 mi long and 6.31 mi in diameter be placed…

A:

Q: In an amusement park rocket ride, cars are suspended from 4.25-m cables attached to the rotating…

A: According to Newton's 2nd Law in X-direction:∑Fx=Tsinθ=marTsinθ=mar------(1)we know,…

Q: A 35.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What…

A: we know that centripetal force  Fc= mw2Rwhere m is massw is angular velocity R is distance from…

Q: An athlete swings a 6.00-kg ball horizontally on the end of a rope. The ball moves in a circle of…

A:

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.85 m, rotating with an angular…

A: mass of child = 50 kg Radius = 2.85 m w ( angular speed) = 3.9 rad/sec

Q: Jeff of the Jungle swings on a vine that is 7.20 m long. At the bottom of the swing, just before…

A: Given,

Q: As a result of this change: a)The centripetal acceleration of the ant increases. b)The angular…

A:

Q: A large centrifuge is used to expose aspiring astronauts to accelerations similar to those…

A:

Q: An athlete swings a 4.10-kg ball horizontally on the end of a rope. The ball moves in a circle of…

A: Answer Given  Mass of the ball m = 4.10 kg Radius r = 0.710 m  Angular speed ω = 0.520 rev/s

Q: It has been suggested that rotating cylinders about 15.0 mi long and 5.89 mi in diameter be placed…

A: Given, l= 15mi =15*1609m = 24135 m d= 5.89mi = 5.89*1609m =9477.01 m Where, l is the length of the…

Q: A car wheel has a diameter of 70.1 cm, completing one clockwise revolution in 1.20 minutes.…

A: Given:-  The diameter of the car wheel is D = 70.1 cm = 0.701 m  The time to complete the one…

Q: A laboratory centrifuge like the one shown in the figure operates with a rotational speed of 12000…

A:

Q: An object rotates a full circle of radius 2m in 5 sec. What is the tangential speed of the object.…

A: Given :- r=2m time taken in full rotation = 5 sec

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.