A 50.0 kg child stands at the rim of a merry-go-round of radius 2.20 m, rotating with an angular speed of 2.80 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 merry-go-round that is required to keep her in the circular path?  -_________________________ N (c) What minimum coefficient of static friction is required?

Q: An engine fan initially rotates at 450 rpm and is turned off for 20.0 seconds, during which time it…

A:

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: 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: A 0.30-m-radius automobile tire rotates how many rad after starting from rest and accelerating at a…

A:

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: 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: QUESTION 7 A wheel rotates with an angular speed of 50.0 rad/s. How many revolutions will it make in…

A:

Q: An object with a radius of 0.56 m is rolling across the level ground in a straight line with an…

A: Radius of object (r) = 0.56 mInitial speed (vi) = 20.5 m/s Initial angular speed (ωi) = vi/r=> ωi…

Q: angular acceleration

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: Started from rest, the two wheels of a mountain bike have both an angular acceleration of 4.0…

A:

Q: An electric drill rotates at 1800 rev/min. Through what angle does it turn in 2 ms? If it reaches…

A:

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: An athlete swings a 5.50-kg ball horizontally on the end of a rope. The ball moves in a circle of…

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: 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 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 point mass of 0.44 kg is set to rotate about a fixed axis 0.81 m away. The mass is initially at…

A: The centripetal force is given by F=v2r Here, v is the speed and r is the distance of the point mass…

Q: An 8.0 m radius merry-go-round completes one revolution every 7.0 s. (a) What is the angular…

A: Given data:  Radius (r) = 8.0 m Time period (T) = 7.0 s Required: The angular velocity, linear…

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,500 rev/min, clockwise (when…

A:

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

A:

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

A:

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: A merry-go-round rotates from rest with an angular acceleration of 1.95 rad/s². How long does it…

A: See below

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: A bicycle is riding at a tangential speed of 13.2 m/s around a circular track. The magnitude of the…

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 wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 21 s. Its blades…

A:

Q: A turntable rotates at 100 rev/min. Calculate its angular speed in radian/s and in degree/s.

A: Given Data :            n=100 rev/min   =53 rev/s or  53 Hz

Q: A particular DVD player has an operational angular velocity of 2500 rpm. We model the spinning DVD…

A:

Q: It has been suggested that rotating cylinders about 13.0 mi long and 4.81 mi in diameter be placed…

A:

Q: A 100 kg vehicle enters a flat circular turn of radius 5 m. It is initially traveling at 5 m/s…

A: Given data: The mass of vehicle is m=100 kg. The radius of circle is r=5 m. The initial speed is…

Q: It has been suggested that rotating cylinders about 18.5 mi long and 4.60 mi in diameter be placed…

A:

Q: 6. A 50.0-kg child stands at the rim of a merry-go-round of radius 2.90 m, rotating with an angular…

A: Given, mass of the child, m = 50.0 kgradius of a merry-go-round, r = 2.90 mangular speed, ω = 3.80…

Q: A solid cylinder rolls down an incline at 41° from rest. (a) What is its acceleration (in m/s2)?…

A:

Q: A point mass of 0.36 kg is set to rotate about a fixed axis 0.72 m away. The mass is initially at…

A: The angular final velocity is,

Q: A horizontal merry-go-round is initially at rest. At t = 0, it is given a constant angular…

A: Given :  Mass  = m = 23.5 kg Distance from axis of rotation = r = 2.35 m Angular acceleration = α =…

Q: It has been suggested that rotating cylinders about 11.0 mi long and 3.63 mi in diameter be placed…

A: The length of a cylinder is, L=11 mi=11 mi×1609.34 m1 mi=17702.74 m The radius of a cylinder is,…

Q: When you start your record player, a ladybug is sitting on the edge of the record, 15 cm from the…

A: The angular acceleration (α) of the record is given by, Here, ω denotes the angular velocity and t…

Q: A point mass of O.37 kg is set to rotate about a fixed axis 0.74 m away. The mass is initially at…

A: Here, Now, the angular velocity is

Q: An ultracentrifuge accelerates from rest to 100,000 rpm in 2.30 min. (a) What is its angular…

A:

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3550 rev/min. When switched off,…

A:

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.