b) A particle accelerates around a circle of radius 4 m. At a certain point A,...
Their is a string that is wound around a circle, with the radius of 0.5m. With an acceleration of a=10t m/s^2 . Starting from rest, determine the angular displacement, angular velocity, and angular acceleration at t=3 seconds. I'm trying to picture a fishing line around a spool.
A catapult with a radial arm 3.83 m long accelerates a ball of mass 17.9 kg through a quarter circle. The ball leaves the apparatus at 46.8 m/s. The mass of the arm is 22.3 kg and the acceleration is constant. Hint: Use the time-independent rotational kinematics equation to find the angular acceleration, rather than the angular velocity equation. (a) Find the angular acceleration. ___rad/s2 (b) Find the moment of inertia of the arm and ball. ___ kg · m2...
A particle is traveling counterclockwise in a circle of radius r = 2.35 m. At some instant in time, the particle is located by the angular coordinate a = 28.0°, the total acceleration has a magnitude of a = 13.5 m/sand is directed at an angle ß = 20.0° with respect to the radial coordinate. Determine the following at this instant. (Express your answer in vector form.) (a) position vector (b) velocity m/s (c) total acceleration
A particle object undergoes uniform circular motion at a speed v around a circle of radius r. Given v and r, the magnitude of centripetal acceleration is a0. Assume when either v or r are changed, the particle remains in uniform circular motion. 1. Suppose the radius of the circle is cut in half. What happens to the magnitude of the centripetal acceleration? choices: the acceleration doubles, acceleration increases by square root of 2, acceleration remains the same, acceleration decreases...
A particle with a mass of 9 kg moves in a circle with a radius of 0.18 m and a tangential speed of 13 m/s. What is the angular momentum of the particle in kg-m2/s?
1. An 800 kg car travels around the edge of a circular track of radius 400 m. At one point, the car accelerates around the track, increasing its speed from 40 m/s to 60 m/s over the course of 5 s. At the instant that the car reaches 50 m/s find (a) its angular velocity (b) its radial acceleration, (c) the centripetal force acting on the car, (d) the tangential acceleration of the car, and (e) the magnitude of the...
A particle rotates in a circle of radius 4.60 m . At a particular instant its acceleration is 1.30 m/s^2 in a direction that makes an angle of 38.0 degrees to its direction of motion. A) Determine its speed at this moment (m/s) B) Determine its speed 2.20 s later, assuming constant tangential acceleration (m/s)
A disk with mass m = 8.6 kg and radius R = 0.35 m begins at rest and accelerates uniformly for t = 18.9 s, to a final angular speed of ω = 29 rad/s. (answer all parts of this question please, thank you so so much) 1) What is the angular acceleration of the disk? 2) What is the angular displacement over the 18.9 s? 3) What is the moment of inertia of the disk? 4) What is the...
1) A cyclist rides around a circle track with a constant speed of 8 m/s. If the radius of the track is 150 m then what acceleration does it experience? 2) A 75 kg tightrope walker is in the middle of the rope. The tightrope sags in the middle and creates a 30 degree angle below the horizontal. What is the tension in the cable? 3) A 0.75 kg yo-yo is spun around at a constant speed in a circle....
A particle moves uniformly around the circumference of a circle whose radius is 8.0 cm with a period of π/20 s. The angular velocity ω of the particle is Group of answer choices 40 rad/s. 2.5 rad/s.