Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is a constant 1.40 rad/s2. The bicycle wheels are 37.0 cm in radius. (a) What is the magnitude of the bicycle's linear acceleration (in m/s2)? m/s2 (b) What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 11.2 m/s? How is the tangential velocity of the wheel's edge related to the angular velocity? Be careful with unit conversion. rad/s (c) How many radians have the wheels turned through in that time? rad (d) How far (in m) has the bicycle traveled in that time? m
Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is a constant 1.40 rad/s2. The bicycle wheels are 37.0 cm in radius. (a) What is the magnitude of the bicycle's linear acceleration (in m/s2)? m/s2 (b) What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 11.2 m/s? How is the tangential velocity of the wheel's edge related to the angular velocity? Be careful with unit conversion. rad/s (c) How many radians have the wheels turned through in that time? rad (d) How far (in m) has the bicycle traveled in that time? m
Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is a constant 1.40 rad/s2. The bicycle wheels are 37.0 cm in radius. (a) What is the magnitude of the bicycle's linear acceleration (in m/s2)? m/s2 (b) What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 11.2 m/s? How is the tangential velocity of the wheel's edge related to the angular velocity? Be careful with unit conversion. rad/s (c) How many radians have the wheels turned through in that time? rad (d) How far (in m) has the bicycle traveled in that time? m
Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is a constant 1.40 rad/s2. The bicycle wheels are 37.0 cm in radius.
(a)
What is the magnitude of the bicycle's linear acceleration (in m/s2)?
m/s2
(b)
What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 11.2 m/s?
How is the tangential velocity of the wheel's edge related to the angular velocity? Be careful with unit conversion. rad/s
(c)
How many radians have the wheels turned through in that time?
rad
(d)
How far (in m) has the bicycle traveled in that time?
m
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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