what tension must a 47.0 cm length of string support in order to whirl an attached 1000.0 g stone in a circular path at 2.88 m/s?

Q: An empty cylindrical barrel is open at one end and rolls without slipping straight down a hill. The…

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Q: A car traveling at a constant speed as it rounds a curve is not experiencing angular acceleration.…

A: The car when it rounds a curve, its velocity is changing at every instant as the angle is changing…

Q: A 700g ball rotates around a vertical shaft supported by two strings, as shown in the picture below.…

A: Given : Mass of ball (m) = 700 g = 0.7 kg Tension in the upper string (T1) = 20 N Let the angle…

Q: A light string can support a stationary hanging load of 25.0 kg before breaking. An object of mass…

A: String can support load of 25.0 kg which equals 25*g Newton (g=9.8 m/s2) Radius(r) = 0.8 m mass…

Q: A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 37 kg box as shown…

A: Given information: Here, m and a are the mass and the acceleration of the block respectively, and…

Q: The man has a mass of 80 kg and sits 3 m from the center of the rotating platform. Due to the…

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Q: A 1.3 kg rock is swung in a circular path and in a vertical plane on a 3.3 m length string. At the…

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Q: A stone of mass 800.0 g is fastened to a string of length 75.0 cm which would break when the tension…

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Q: A child is swinging a 0.300-kg ball on a string. She is swinging it in a circle with an angular…

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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: One end of a cord is fixed and a small 0.550-kg object is attached to the other end, where it swings…

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Q: If you are driving at a German motorway at 262 km/h, what radius of curvature (in m) of a curve is…

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Q: You pull downward with a force of 32 N on a rope that passes over a disk-shaped pulley of mass 1.3…

A: Torque acting on the disc, T = (F-mg)r

Q: To dry clothes in a rotary dryer, the clothes should be accelerated toward the centre of the tub at…

A: Given data as per question diameter   =   80cm

Q: In an Atwood's machine, one block has a mass of 304.0 g, and the other mass of 454.0 g. The pulley,…

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Q: What is the inertia of a bowling ball (mass = 0.5 kg) of radius 15 cm rotating at an angular speed…

A: in this question we have to find inertia so we don't considered speed in equation.

Q: The pulley is a solid disk with mass 3 kg. The hanging weight m, is 4 kg. The pivot is frictionless…

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Q: A 700g sphere rotates around a vertical pole supported by two ropes, as shown in the image below. If…

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Q: A person rides a Ferris wheel that turns with constant angular velocity. Her weight is 503.0 N. At…

A: Given: The weight of the person: W=503.0 N The difference in apparent weight at the top of the…

Q: What is the rotational kinetic energy in KILOJOULES of a spinner if it rotates at a constant speed…

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Q: Whatweight does the rider feel at the top and bottom if they have a weight of 830 N?

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Q: A mass m= 0.15kg attached to the end of string and rotating in a vertical circle of radius R 0.5 m.…

A: Given: The mass is 0.15 kg. The radius of the circle is 0.5 m. The speed at the top is 3 m/s. The…

Q: What tension must a 40.8 cm length of string support in order to whirl an attached 1000.0 g stone in…

A: Mass (m) = 1000 g = 1 kg velocity (v) = 3.29 mslength of string (r) = 40.8 cm = 0.408 m

Q: A gyroscope is a top-like toy consisting of a heavy ring attached by light spokes to a central axle.…

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Q: A child twirls his ball horizontally about his head rather than using it properly. The ball has a…

A: Mass of ball (m)= 0.200 kg length of string (L) = Radius of the circular orbit followed by ball=…

Q: A .38 kg mass tied to the end of a 0.3m long string is pulled in a circle by If it is moving with an…

A: Given:-  Mass m= 0.38 kg  The length of the string L = 0.3 m  The angular speed ω= 9.3 rad/sec…

Q: A 2.90 kg bucket is attached to a disk-shaped pulley of radius 0.141 m and mass 0.742 kg. If the…

A: Given Data : The mass of the bucket is given as m = 2.90Kg. The mass of the pulley is given as mP =…

Q: You are to design a rotating cylindrical axle to lift 7.7-N buckets of cement from the ground to a…

A: Given data: The weight of the bucket is W=7.7 N. The height of rooftop is h=3.8 m. The acceleration…

Q: Why do roads on mountains have inward inclination at sharp turns?

A: When a vehicle moves along a horizontal curved road on a mountain, the necessary centripetal force…

Q: An old-style elevator is connected to a counterweight by a cable that passes over a rotating disk…

A: Given:Diameter of rotating disk ,d = 3.7 m Height, H = 5 m velocity, v = 0.5 m/s   Solution: a)…

Q: An astronaut is training in an earthbound centrifuge that consists of a small chamber whirled…

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Q: A 40 kg child sits on the edge of a carnival ride at a radius of 4 m. The ride makes 3 revolutions…

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Q: The clutch system is used to transmit torque through a 2-mm-thick oil film with m = 0.38 N?s/m2…

A: The disks are rotating in the same direction at different angular speeds.   The expression for the…

Q: A person pushing a uniformly-loaded 51.7 kg wheelbarrow of length L with pushing force P is…

A: Torque on a body is given by the cross product of force acting on it and the distance between the…

Q: How fast (in rpm) must a centrifuge rotate if a particle 9 cm from the axis of rotation must…

A: Given, the distance of the particle from the axis of rotation (i.e., the radius of the circle in…

Q: The turnbuckle is tightened until the tension T in cable AB is 3.6 kN. 1.6 m 2 m 1.5 m 0.8 m B

A: We have OA→=1.6i+2k and the tension T→=3.6×1030.8i+1.5j-2k0.82+1.52+22=3.6×1036.890.8i+1.5j-2k N

Q: A 2.97 gram fine is placed 0.10 m from the centre of a rotating disc. The coefficient of static…

A: Given: The mass of the fine is m=2.97 g, The distance of fine from the centre of a rotating disc is…

Q: A cube with side length a = 80 cm and made out of concrete ( density of 1.8 · 10 kg/m³ ) should be…

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Q: A space station, in the form of a wheel 128 m in diameter, rotates to provide an "artificial…

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Q: A person rides a Ferris wheel that turns with constant angular velocity. Her weight is 503.0 N. At…

A:

Q: A person rides a Ferris wheel that turns with constant angular velocity. Her weight is 503.0 N. At…

A: We have givenWeight of person  (W)=503.0 NAt the top of rideApparent Weight (dW)=1.500 NAndAngular…

Q: A 0.31-kg cart on a horizontal air track is attached to a string. The string passes over a…

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Q: The block on a smooth inclined plane is moving down with a constant acceleration of 5 m/s m, m. The…

A: Given,m1 = 47 kgm2 = 23 kgradius of pulley, r = 0.26 macceleration of the system, a = 5 ms2θ = 43°

Q: A wooden block of mass m1 3.2 kg and a hollow block of mass m2 = 8.7 kg are connected bý a rope…

A: Given that: m1=3.2 kgm2=8.7 kgR=0.3 mM=5.1  kgθ=36°μ=0.29

Q: How many rotations per minute would a Ferris wheel with diameter d = 24 m need to perform in order…

A: The expression for find velocity of the Ferris wheel is F=mv2rmg=2mv2dv=dg2

Q: A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 31 kg box as shown…

A: Dat given , Mass of box ( m ) = 31 kg The outer radius of the device(R) = 0.56 m The radius of the…

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.