Consider the 14.5 kg motorcycle wheel shown in the figure. Assume it to be approximately an annular ring with an inner radius of R1 = 0.280 m and an outer radius of R2 = 0.340 m. The motorcycle is on its center stand, so that the wheel can spin freely. Moment of inertia for an annular ring of mass m, inner radius r1 , and outer radius r2 is: m(r12+r22)/2 . (a) If the drive chain exerts a force of 1905 N at a radius of 5.00 cm, what is the angular acceleration of the wheel in rad/s2? rad/s2 (b) What is the tangential acceleration, in m/s2, of a point on the outer edge of the tire? m/s2 (c) How long in seconds, starting from rest, does it take to reach an angular velocity of 80.0 rad/s? s
Consider the 14.5 kg motorcycle wheel shown in the figure. Assume it to be approximately an annular ring with an inner radius of R1 = 0.280 m and an outer radius of R2 = 0.340 m. The motorcycle is on its center stand, so that the wheel can spin freely. Moment of inertia for an annular ring of mass m, inner radius r1 , and outer radius r2 is: m(r12+r22)/2 . (a) If the drive chain exerts a force of 1905 N at a radius of 5.00 cm, what is the angular acceleration of the wheel in rad/s2? rad/s2 (b) What is the tangential acceleration, in m/s2, of a point on the outer edge of the tire? m/s2 (c) How long in seconds, starting from rest, does it take to reach an angular velocity of 80.0 rad/s? s
Consider the 14.5 kg motorcycle wheel shown in the figure. Assume it to be approximately an annular ring with an inner radius of R1 = 0.280 m and an outer radius of R2 = 0.340 m. The motorcycle is on its center stand, so that the wheel can spin freely. Moment of inertia for an annular ring of mass m, inner radius r1 , and outer radius r2 is: m(r12+r22)/2 . (a) If the drive chain exerts a force of 1905 N at a radius of 5.00 cm, what is the angular acceleration of the wheel in rad/s2? rad/s2 (b) What is the tangential acceleration, in m/s2, of a point on the outer edge of the tire? m/s2 (c) How long in seconds, starting from rest, does it take to reach an angular velocity of 80.0 rad/s? s
Consider the 14.5 kg motorcycle wheel shown in the figure. Assume it to be approximately an annular ring with an inner radius of
R1 = 0.280 m
and an outer radius of
R2 = 0.340 m.
The motorcycle is on its center stand, so that the wheel can spin freely. Moment of inertia for an annular ring of mass m, inner radius
r1
, and outer radius
r2
is:
m(r12+r22)/2
.
(a)
If the drive chain exerts a force of 1905 N at a radius of 5.00 cm, what is the angular acceleration of the wheel in rad/s2?
rad/s2
(b)
What is the tangential acceleration, in m/s2, of a point on the outer edge of the tire?
m/s2
(c)
How long in seconds, starting from rest, does it take to reach an angular velocity of 80.0 rad/s?
s
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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