A cyclist starts from rest and rides in a straight line, increasing speed so that her wheels have a constant angular acceleration of 2.0 rad/s2 around their axles. She accelerates until her wheels are rotating at 8.0 rad/s. If the radius of a tire is 0.31 meters, how far has the cyclist traveled? Answer in m |
(#10.9.5) |
A cyclist starts from rest and rides in a straight line, increasing speed so that her...
A cyclist starts from rest and pedals such that the wheels of his bike have a constant angular acceleration. After 14 s, the wheels have made 76 rev. A) What is the angular velocity of the wheels after 14 s in rad/s ? 68.2 rad/s B) If the radius of the wheel is 36 cm, and the wheel rolls without slipping, how far has the cyclist (in m) traveled in 14 s? ______rad/s^2 C) What is the angular acceleration of...
A wheel of moment of inertia of 3.00 kg.m2 starts from rest and accelerates under a constant torque of 3.00 N.m for 4.00 s. The wheel's rotational kinetic energy at the end of 4.00 s is = A wheel starts at rest, and has an angular acceleration of 4 rad/s2. After 4.0 s it will have an angular velocity of ? rad/s A wheel starts at rest, and has an angular acceleration of 3.5 rad/s2. After 2.0 s it will have...
Starting from rest, a person pedals a bicycle such that the angular acceleration of the wheels is a constant 1.40 rad/s2. The bicycle wheels are 35.0 cm in radius. What is the magnitude of the bicycle's linear acceleration (in m/s2)? What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 11.6 m/s? How many radians have the wheels turned through in that time? How far (in m) has the bicycle traveled in...
8. A car starts from rest and accelerates at a constant rate in a straight line. In the first second the car moves a distance of 2.0 meters. How fast will the car be moving at the end of the second second? A) 4.0 m/s B) 16 m/s C) 2.0 m/s D) 32 m/s E) 8.0 m/s
A flywheel with a radius of 0.3 m starts from rest and accelerates with a constant angular acceleration of 0.6 rad/s2. Compute the magnitude of the tangential acceleration, the centripetal acceleration, and the resultant acceleration of a point on its rim after it has turned throuh 1 rad.
1. A centrifuge starts from rest and reaches an angular velocity of 30000 rpm in 5s. What is the angular acceleration(in rad/s2) of this device? 2. A flywheel rotating at 20 rpm undergoes an angular acceleration of 2.0 rad/s2 for precisely 5 revolutions. What is the angular velocity of the flywheel at the end of this acceleration?
A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec2 acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the radial acceleration of a point 4.0 cm from the center at the time 2.0 seconds from the start? a. 0.28 m/s2 b. 0.16 m/s2 c. 0.30...
A bicyclist starting at rest produces a constant angular acceleration of 1.10 rad/s2 for wheels that are 33.0 cm in radius. (a.) What is the bicycle's linear acceleration (in m/s2)? (Enter the magnitude.) (m/s2) (b.) What is the angular speed of the wheels (in rad/s) when the bicyclist reaches 10.2 m/s? (rad/sec) (c.) How many radians have the wheels turned through in that time? (rad) (d.) How far (in m) has the bicycle traveled? (m)
17.) A motorcycle accelerates uniformly from rest and reaches a linear speed of 21.6 m/s in a time of 9.72 s. The radius of each tire is 0.298 m. What is the magnitude of the angular acceleration of each tire? rad/s2
A bicyclist starting at rest produces a constant angular acceleration of 1.50 rad/s2 for wheels that are 37.5 cm in radius.HINT(a)What is the bicycle's linear acceleration (in m/s2)? (Enter the magnitude.)m/s2(b)What is the angular speed of the wheels (in rad/s) when the bicyclist reaches 12.0 m/s?rad/s(c)How many radians have the wheels turned through in that time?rad(d)How far (in m) has the bicycle traveled?m