A racing car moves on a circle of a constant radius b. The speed of the car varies with time t according to the equation v = vc(1 − e −t/τ ). (a) Find the tangential and normal components of the acceleration as functions of time. (b) Sketch these dependencies emphasizing the behavior of these functions at t → 0 and t → ∞
A racing car moves on a circle of a constant radius b. The speed of the...
3. An object moves at constant speed v in a circle of radius r. How many times greateriless is the acceleration (a) if v is doubled, (b) if r is doubled? What happens to the acceleration as r-oo? as r→0? Why can't a car turn a corner instantaneously (in no time)-how great would the acceleration have to be?
A racing car travels with a constant tangential speed of 75.0 m/s around a circular track of radius 625 m. Find |(a) The magnitude of the car's total acceleration and |(b) The direction of its total acceleration relative to the radial direction.
A racing car travels on a circular track with a radius of 200 m. If the car moves with a constant linear speed of 51.0 m/s, find (a) its angular speed and (b) the magnitude and directions of its acceleration. (a) 0.255 rad/s; (b) 51.0 m/s2 in the direction of tangential velocity (a) 0.255 rad/s; (b) 13.0 m/s2 in the direction of tangential velocity (a) 7.25 rad/s; (b) 13.0 m/s2 in the direction of tangential velocity (a) 0.255 rad/s; (b)...
A racing car travels on a circular track with a radius of 225 m. If the car moves with a constant linear speed of 47.0 m/s, find (a) its angular speed and (b) the magnitude and directions of its acceleration. O(a) 0.209 rad/s; (b) 9.82 m/s2 in the direction of tangential velocity i O(a) 0.709 rad/s; (b) 47.0 m/s2 in the direction of tangential velocity • (a) 0.209 rad/s; (b) 9.82 m/s2 toward the center of the track O(a) 4.79...
A particle of mass m moves in a circle of radius R at a constant speed v, as shown below. The motion begins at point Q at time t = 0. Determine the angular momentum of the particle about the axis perpendicular to the page through point P as a function of time. (Use any variable or symbol stated above along with the following as necessary: t.)
1. A test car moves at a constant speed of 10 m/s around a circular road of radius 50 m. Find the car’s centripetal, tangential and total acceleration.
1. A test car moves at a constant speed of 10 m/s around a circular road of radius 50 m. Find the car's centripetal, tangential and total acceleration.
A car of mass M moves with an initial speed of vo on a straight horizontal road. The caris brought to rest by braking in such a way that the speed of thecar is given as a function of time t by v = √(vo^2-(Rt/M)) A. Develop an equation that expresses the time rate of changeof kinetic energy. B. Determine the time T it takes to bring the car to acomplete stop. C. Develop an equation for the acceleration of...
1. A racing car starts from rest and reaches a final speed v in a time interval of t after traveling a distance on a straight line. If the acceleration a of the car is constant during this time, which of the following statements can not be true? (a) The car travels a distance of v 2 2a . (b) The acceleration of the car is v 2t 2 . (c) The velocity of the car at t/2 (at one...
1. A racing car starts from rest and reaches a final speed v in a time interval of t after traveling a distance on a straight line. If the acceleration a of the car is constant during this time, which of the following statements can not be true? (a) The car travels a distance of V^2/2a . (b) The acceleration of the car is v/2t^2 . (c) The velocity of the car at t/2 (at one half of the time...