golf ball initially at rest rolls down an inclined plane. Which of the following would increase the acceleration of the ball so that it reaches the bottom of the inclined plane faster? (Select all that apply)    Increase the mass   Decrease the mass   Decrease the radius    Increase the radius    Concentrate most of the mass near of the ball near it's edge   Concentrate most of the mass near its center of mass

Q: The reason that curves are banked is because the normal force acting on the car is reduced. the…

A: Given that the curves are often banked To determine thatThe reason that curves are banked is…

Q: Suppose that a copper sleeve of inner radius 1.75 cm and outer radius 1.85 cm is to be cast. To…

A:

Q: An 800 kg racing car travels around a circular flat path of radius r=100 m at a maximum constant…

A:

Q: (flywheel rotated about its center), The tangential acceleration at of point A is calculated to be…

A: Solution:-

Q: Name the force required for a circular motion. State its direction?

A:

Q: What are the equations for : Constant Angular Acceleration / Centripetal Force

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Q: Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 360 rpm, and the piece…

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Q: A roller coaster car of mass 250 kg passes over a hill of radius 10 m, as shown. At the top of the…

A:

Q: The Earth moves about the Sun in an elliptical orbit. As the Earth moves closer to the Sun, which of…

A: moment of inertia of earth sun system when earth moves closer to sun.

Q: If a race car moving at 29 m/s on a circular track with a radius of 25 m, find the angular velocity.

A: Speed of the race car, v = 29 m/s Radius of the circular track, R = 25 m   The angular velocity of…

Q: If the following objects are spinning at the same angular velocities, the edge of which one would…

A: The relation between tangential speed and angular speed is, v=rω From the above relation the…

Q: flywheel has a diameter of 50 cm. What is the speed of a point on the edge of the flywheel if it…

A: Given data: Diameter of flywheel is, d=50 cm=0.5 m. Magnitude of centripetal acceleration is, ac=15…

Q: ball is launched from inside a cylindrical device that has been set on a frictionless incline and…

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Q: The angular speed of an automobile engine is increased at a constant rate from 1500 rev/min to 3000…

A: Angular acceleration is given by,  α=ω2-ω1t substitute the given value to find the angular…

Q: A pick-up truck is fitted with new tires which have a diameter of 42 inches. How fast will the…

A: We are given diameter of tire. We first find radius of tire. We are given number of revolutions per…

Q: What is the linear speed of a point that moves in a circle with a radius of 5 cm with an angular…

A: GivenRadius of ciorcle, r=5 cm=0.05 mAngular velocity ,ω=2 rad/s

Q: A specific aircraft needs a velocity of 42m/s to generate enough lift for takeoff. It takes 50.0s to…

A: GivenSpecific aircraft needs a velocity=42 m/sTime taken by aircraft =50.0 s

Q: In the question above the speed of the stone is increased beyond 33.806 m/s causing the lace to…

A: When the lace breaks, the shoe will fly off in the direction of the velocity at that moment.

Q: In the roto-ride, a person is pinned to the side of a rotating, open-bottomed cylinder without…

A: In this case the frictional force acted upon by the wall is balanced by the weight of the person.…

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

A: The given data is:

Q: Although their linear motions vary linearly with their distances from the axis of rotation, all…

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Q: The objects listed are placed at the top of a ramp and roll down to the bottom without slipping.…

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Q: The figure below shows a sphere of mass 4 kg attached to a horizontal rod by two strings of equal…

A: This question can be solved by applying the basic concepts of circular motion.

Q: Question 10: A satellite orbits the Earth near the equator at a distance of 411 km from the Earth's…

A: The tangential velocity of the satelite is 7663.45 m/s

Q: In a home laundry dryer, a cylindrical tub containing wet clothes is rotated steadily about a…

A: This is a simple problem of circular motion  The cloth will leave contact when the normal reaction…

Q: An open 2-meter-diameter, 2-meter-high cylindrical tank is full of water and is rotated about its…

A: Given: The diameter of tank is D=2 m. The height of tank is h=2 m. The volume of water spilled is…

Q: What is the angular velocity of an object that completes 1.5 circular orbits in half a minute?

A:

Q: A type of hypothetical spacecraft rotates around a central point to create, what some call,…

A: Given: For people to be comfortable for a given mission duration, they need at least 20 m. of space…

Q: (numbers 49-50) A 0.1 kg bullet initially travels at 200 m/s before striking the edge of a uniform…

A:

Q: Microwave ovens rotate at a rate of about 6 rpm.  What is this in radians per second? Group of…

A: The revolution per minute is 6rpm.

Q: Suppose a satellite orbits the Earth twice in sixty days. What is the period of the circular motion?…

A: Since the satelite orbits earth  twice in 60 days , time taken to complete one orbit is 30 days…

Q: Gyroscopes are often used in equipment to stabilize motion and prevent unwanted movements. While the…

A:

Q: A cyclist turns a corner with a radius of 50m at a speed of 5.5 m/s. If the cyclist and bicycle have…

A: Given: The radius of the circular path is 50 m. The speed of the bicycle is 5.5 m/s. The combined…

Q: Three solid objects – a large wooden ball, a small steel ball, and a large steel ball – are placed…

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Q: 2. A ball traveling at 100 cm/s rolls off the edge of level table. If it hits the earth 30 cm away…

A:

Q: he areas of constructive interference for light are called   a) 2 of the options are correct   b)…

A: Interference  When two light waves from different coherent sources meet together, then the…

Q: A space station in the shape of a 100 m-diameter (50m radius) wheel is spinning so as to impart a…

A: Required tangential speed is,

Q: A ball tied to a string is swung around in a horizontal circle. Which one of the following…

A: As we have a ball tied to a sting and going in horizontal circle motion.1. As ball is moving in…

Q: non-uniform circular motion varies as v = 7t2 – 2v with the radius being equal to 21 m. What is the…

A: Given: The tangential velocity of a body in a non-uniform circular motion varies as v = 7t2 – 2v…

Q: The centripetal force acting on a mass in a circular motion is given by. What does stand for? O…

A: In the given question we have to discuss about centripetal force acting on a mass in a circular…

Q: When a particle of mass m rotating in a plane circular path of radius r has an angular mотеntum I.…

A:

Q: A 0.5 kg mass is rotated in a horizontal circle of radius 20 cm. Calculate the centripetal force…

A: We are aware that a 0.5 kg mass rotates in a horizontal circle with a radius of 20 cm.If the object…

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.