3. An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough such that any person inside is held up against the wall when the floor drops away. The coefficient of static friction between person and wall is 0.25 and the radius of the cylinder is 7m. (a) How many minimum revolutions per minute does the cylinder make?  (b) Calculate the angular velocity and frequency of the motion at this condition.  (c) What is the effect of the mass of the person on the time period, radial acceleration and tangential acceleration.

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

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Q: (a) Find the angular speed w at which it is spinning. (b) Find the centripetal acceleration, ac with…

A: (a) The relation between angular velocity and frequency is:

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: 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 =…

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A: Given:  radius of disc, r = 6 cm = 0.06 m  frequency of rotation, f = 98 rev/s  distance from the…

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A: Given: The mass of the cylinder is m The initial angular velocity of the cylinder is ω0 The initial…

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Q: the floor falls away, held in place by friction and centripetal force. If the coefficient of static…

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

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Q: An ultracentrifuge accelerates from rest to 100,000 rpm in 3.50 min. (a) What is its angular…

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A: Given:-  On an old 45 rpm record,  The beginning track is 8 cm from the center.  The end track is 5…

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A:

Q: 3. Go-karts have a mass of 70.0 kg. A person with a mass of 50.0 kg rides inside. The go-kart track…

A: The frequency will be = 0.042 Hz.

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A:

Q: An ultracentrifuge accelerates from rest to 100,000 rpm in 3.50 min. (a)What is its angular…

A: SOlution: Given that n = 100000 rpm t = 3.5 min

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: What is the maximum speed with which a 1500-kg car can make a turn of radius 20 m on in level…

A: Centripetal force is the net force that the object experiences when performing the circular motion.…

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A: The direction of angular velocity and angular acceleration is given by right hand thumb rule.

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A:

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A: Given: The orbital radius of the iron man is 6400 km. The centripetal acceleration is 1g.

Q: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating with an angular…

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: The driver of a car traveling at 22.5 m/s ap- plies the brakes and undergoes a constant deceleration…

A: Given data: Initial speed of the car (u) = 22.5 m/s Deacceleration of the car (a) = -1.34 m/s2…

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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: Olympic ice skaters are able to spin at about 10 rev/s. (a) What is their angular velocity in…

A: ω=Angular velocity=10 rev/sr=Radius=0.12 m

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A:

Q: An automobile engine slows down from 2500 rpm to 1200 rpm in 2.5 s. Calculate its average angular…

A: Converting initial angular velocity: ω1 = 2500 rpm ω1 = (2500 rpm) * (2π rad/1 revolution) * (1…

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

A:

Q: The royal antelope of western Africa has an average mass of only 2.5 kg. Suppose this antelope runs…

A: Given, Mass=2.5kg Radius=35m Force=8.8N

Q: An athiete swings a 4.50-kg ball horizontally on the end of a rope. The ball moves in a circle of…

A: Given: Mass,m=4.50kgRadius,r=0.980mAngular Speed,ω=0.400rev/s=0.400×6.2831rad/sMaximum…

Q: What is the ratio L1/L2 of the lengths of the sidse of the rectangle when n=3.95

A: Centripetal accelaration=radius×(angular speed)2 Given ,…

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.