Answered: The centripetal force of a rotating…

The centripetal force of a rotating object in a circular path of a diameter of 60 cm and a mass of 1.50 kg is 4520 N. Find its its angular velocity in rad/s.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 13CQ: As the rope of a tethered ball winds around a pole, what happens to the angular velocity of the...

See similar textbooks

Related questions

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: A rope is wrapped around a cylinder of radius 0.2 meters. Starting from rest, the rope is pulled…

Q: A 2-N weight is swung in a vertical circle of 1m radius at the end of the cable that will break if…

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 child stands on a spinning carousel. Another child runs on and jumps on the rim. (a) Choose the…

Q: A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.915…

A: In this question we are given that a horizontal circular platform rotates counterclockwise about its…

Q: Hermann is riding on a merry-go-round which has a rotational frequency of 0.0842 Hz. The wooden…

Q: The balls are connected by very lightweight rods pivoted at the point indicated by a dot. The rod…

A: Gravitation torque due to the two mass about pivot

Q: A baseball pitcher brings his arm a pitch rotating the forearm about the elbow . B= 32.4 m/s D=0.275…

A: Relation between the angular velocity and Linear Velocity is, ω = v/r Where, ω = angular velocity v…

Q: 50 g static mass Time to Complete 60 Revolutions 37 sec Radius of Rotation for the Rotating Mass .…

A: Given values:- Static mass,(ms)=650 gm=0.65 kg ----(1) Time to complete 60 revolutions,(T)=37 sec…

Q: In the right hand rule, your thumb tells you the direction of Select one: a. angular velocity b.…

A: Angular velocity is a vector quantity that requires direction and magnitude. The direction of…

Q: The Moon has a mass of 7.35 × 1022 kg and a radius of 1.74 × 106 m. It orbits around the Earth at a…

A: Given that : The Moon has a mass of 7.35 × 1022 kg radius of moon (R)…

Q: The rotational effect of a force on a body about an axis of rotation is described in terms of: A)…

A: The rotational effect of a force on a body about an axis of rotation is described in terms of Moment…

Q: A horizontal platform with a diameter of 6 m revolves about its center of 20 rpm. Find the…

A: Given in question- Diameter(D) = 6m Angular velocity(ω) = 20 rpm To…

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

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: Sir Jeo is seating 2 m from the center of a carousel that is initially at rest. At an initial t= 0,…

Q: What is the angular momentum of a 0.270-kg ball revolving on the end of a thin string in a circle of…

A: Given data: Mass (m) = 0.270 kg Radius (r) = 1.35 m Angular speed (ω) = 10.4 rad/s Required: The…

Q: 750 g static mass Time to Complete 60 Revolutions 41 sec Radius of Rotation for the Rotating Mass…

A: Here given that : Mass is 0.449 kg Time for complete 60 revolution 41 sec. Radius 0.162 m. We have…

Q: Assuming a successful man-made satellite rotates around the earth at a rate of 7 rev in 6.5 days.…

Q: A 2.7 kg rock is swung in a circular path and in a vertical plane on a 1.7 m length string. At the…

Q: Plot (Graph) the Centripetal Force as a function of Angular Velocity Static Force Angular Velocity…

Q: A model airplane with a mass of 0.751 kg is tethered by a wire so that it flies in a circle 29.2 m…

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

Q: A child’s toy consists of a small wedge that has an acute angle of 34◦. The sloping side of the…

Q: A skater has a moment of inertia of 3 kg.m2 (kilogram, meter squared) when her arms are outstretched…

Q: A toy car of mass 9.5 kg is moving in a circular path (9m In diameter) at a tangential velocity of 9…

Q: The period of rotation of a Ferris Wheel is 2 minutes and 45 seconds. Find the tangential speed of…

Q: A figure skater is spinning with an angular velocity of +10.3 rad/s. She then comes to a stop over a…

Q: Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg105 kg and a…

A: Given, mass of merry-go-round M = 105kg, mass of children m1=22kg, m2=28kg, m3=33kg, initial angular…

Q: A gymnast does cartwheels along the floor and then launches herself into the air and executes…

A: I1=Initial moment of inertia=13.5 kg m2ω1=Initial angular velocity=0.5 rev/sI2=Final moment of…

Q: Static Force Exerted by the Spring Time to Complete 60 Revolutions 41 sec Angular Velocity of the…

A: Given : Time to Complete 60 Revolutions = 41 s Angular Velocity of the Rotating Mass, w = 9.2 rad/s…

Q: A dog sits 1.83 m from the center of a merry-go-round with an angular speed of 1.90 rad/s. If the…

Q: centrifuge in a medical laboratory rotates at an angular speed of 3,800 rev/min. When switched off,…

A: Given that,initial angular speed:ω0=3800 revminω0=3800×2π60=397.93 radsecAngular displacement∆θ=…

Q: following data measures a spinning mass at different angular speeds and the radial force…

A: Radius of the circular path (r) = 5.14 cm = 0.0514 m The angular speed versus radial force data is…

Q: A model airplane with mass 0.85 kg is tethered by a wire so that it flies in a circle 0.06 km in…

Q: When kicking a football, the kicker rotates his leg about the hip joint. v = 36.5 m/s v2 = 22.5 m/s…

Q: A point mass of 0.39 kg is set to rotate about a fixed axis 0.76 m away. The mass is initially at…

Q: box of mass 10 Kg, moves in circular motion with the mass function as m = 7t. The function for the…

A: Centripetal force is given by, F=mv2r Given : Mass as a function of time m=7t Radius r=2t2

Q: playground merry-go-round with a mass of 135 kg and a radius of 1.7 m is rotating with an angular…

A: The principle of conservation of angular momentum stated that the body's angular momentum remains…

Q: A tyres of a lorry make 75 rev as th truck reduces its speed uniformly from 30 m/s to 20m/s .the…

A: number of revolutions (n) = 75 Initial speed of the truck (u) = 30 msFinal speed of the truck (v) =…

Q: 550 g static mass Time to Complete 60 Revolutions 39 sec Radius of Rotation for the Rotating Mass .…

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

Q: A force of 15N is being applied to an object at a distance of 33 cm from the axis of rotation. The…

Q: 550 g static mass Time to Complete 60 Revolutions 39 sec Radius of Rotation for the Rotating Mass .…

Q: The angle turned through by a body about a given axis is called ____. * a. angular displacement…

Q: An object with mass 125 g is in a circular motion. If the mangitude of the centripetal force is 18N…

A: When the object is undergoing the circular motion, it is experiencing a centripetal force(force…

Q: There is a rod-shaped space station of length 687 m and mass 5.35 x 10^6 kg, which can change its…

Q: A 2.90 kg bucket is attached to a disk-shaped pulley of radius 0.131 m and mass 0.792 kg. If the…

Q: A disk with m1 = 2 kg is spinning in a circle of radius 1.2 m on a frictionless table. The rope…

A: Given data: The mass of the disk is m1=2 kg. The radius of the circle is r=1.2 m. The mass of the…

Concept explainers

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.

Question

The centripetal force of a rotating object in a circular path of a diameter of 60 cm and a mass of 1.50 kg is 4520 N. Find its its angular velocity in rad/s.

Definition Definition Force on a body along the radial direction. Centripetal force is responsible for the circular motion of a body. The magnitude of centripetal force is given by F C = m v 2 r m = mass of the body in the circular motion v = tangential velocity of the body r = radius of the circular path

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.
A space station consists of a giant rotating hollow cylinder of mass 106kg including people on the station and a radius of 100.00 m. It is rotating in space at 3.30 rev/min in order to produce artificial gravity. If 100 people of an average mass of 65.00 kg spacewalk to an awaiting spaceship, what is the new rotation rate when all the people are off the station?
Calculate the angular velocity of the orbital motion of Earth around the Sun.
An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is 1.8kgm2 while his arms are extended, and he is spinning at 0.5 rev/s. If he launches himself into the air at 9.0 m/s at an angle of 45 with respect to the ice, how many revolutions can he execute while airborne if his moment of inertia in the air is 0.5kgm2 ?
A bicycle wheel with radius 0.3 m rotates from rest to 3 rev/s in 5 s. What is the magnitude and direction of the total acceleration vector at the edge of the wheel at 1.0 s?
The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?
As the rope of a tethered ball winds around a pole, what happens to the angular velocity of the ball?
A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700 m/s in 1.75 s. At t = 1.25 s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, and (c) the total acceleration of the point.
Check Your Understanding A boy jumps on a merry-go-round with a radius of 5 m that is at rest. It starts accelerating at a constant rate up to an angular velocity of 5 rad/s in 20 seconds. What is the distance travelled by the boy?
Calculate the angular velocity of Earth.
An object with mass 125 g is in a circular motion. If the mangitude of the centripetal force is 18N amd the angular velocity is 23.2 rad/s, what is the radius of the circular path in the unit of meters?
A point mass of .39kg is set to rotate about a fixed axis .76 m away. The mass is initially at rest and undergoes a constant angular acceleration of 5.10 rad/s^2. At what time will the centripetal force acting on the mass be 50.8N ?