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 4.00 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? Yes/No

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Q: You have a grindstone (a solid disk) that is 642.93 kg, has a 0.114-m radius, and is turning at…

A:

Q: 1. (a) A grinding wheel of radius 7.6 cm is rotating at 1750 rpm. (i) What is the speed of a point…

A: Step 1:Step 2: Step 3: Step 4:

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: ff the track. From these data, determine the coefficient of static friction between the car and…

A: Circumference of circle is given by  d=0.25(2πr)....(1) Using Newtons second law  Centripetal…

Q: It has been suggested that rotating cylinders about 12.5 mi long and 3.58 mi in diameter be placed…

A:

Q: A disk 6.00 cm in radius rotates at a constant rate of 98.0 rev/s about its central axis. (a)…

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

Q: A cart and a bucket are attached to a rope, which is passed through a pulley. The cart weighs 5.00…

A: Solution: Let us consider the forces acting on the bucket. The weight (mg) is acting downward and…

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

A:

Q: The County Fair Swing carries the mass of riders and chairs in an unchanging circular path in an…

A: Since the ride is moving in horizontal direction, its acceleration in vertical direction and hence…

Q: At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls…

A:

Q: A record turntable is rotating at 33 rev/min. A watermelon seed is on the turntable 1.1 cm from the…

A: Recall ar=ω2r=rdial accelerationNow when turntable rotates with angular acceleration, it has radial…

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A:

Q: A bucket filled with water does a vertical circle (looping) with an 80 cm radius. What is the…

A:

Q: (a) A 23.0 kg child is riding a playground merry-go-round that is rotating at 50.0 rpm. What…

A:

Q: At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls…

A: Visualize the Problem:

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 ultracentrifuge accelerates from rest to 100,000 rpm in 2.0 min. (a)What is its angular…

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: A coin rests 12.0 cm from the center of a turntable. The coefficient of static friction between the…

A: Given Data : The distance between the coin and the turntable's center is given as…

Q: (a) A 19.0 kg child is riding a playground merry-go-round that is rotating at 30.0 rev/min. What…

A:

Q: (a) A 19.0 kg child is riding a playground merry-go-round that is rotating at 35.0 rev/min. What…

A: This problem can be solved using centripetal force concept

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A: Given data The length of the rotating cylinder is given as L = 18 miles. The diameter of the…

Q: You have a grindstone (a disk) that is 212.44 kg, has a 0.185-m radius, and is turning at 47.44 rpm,…

A: Given, mass of the grindstone M=212.44 kg Radius R=0.185 m Initial angular velocity ω0=47.44…

Q: It has been suggested that rotating cylinders about 18.5 mi long and 4.40 mi in diameter be placed…

A: AIM: To determine the angular speed of the cylinder such that, the centripetal acceleration is equal…

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: It has been suggested that rotating cylinders about 18.5 mi long and 5.52 mi in diameter be placed…

A:

Q: It has been suggested that rotating cylinders about 10.5 mi long and 3.54 mi in diameter be placed…

A: When in space the centripetal force on the cylinder will be equal to the gravitational force on the…

Q: 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 m = 50 kg           radius r = 2.90       angular speed ω= 3.65 rad/si…

Q: (a) A 23.0 kg child is riding a playground merry-go-round that is rotating at 30.0 rev/min. What…

A:

Q: A 15.0 kg child is riding a playground merry-go-round that is rotating at 50.0 rev/min. What…

A: Given that :Mass of the child 'm'=15 kgRotational speed N=50 rev/minShe is 1.50 m from its center

Q: A coin rests 14.5 cm from the center of a turntable. The coefficient of static friction between the…

A: The coin moves when the maximum force of static friction is reached. The condition for relative…

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 =…

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.