Physics equations/10-Rotational Motion and Angular Momentum/Q:dynamics

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A[edit | edit source]

1 A car with a tire radius of 0.26 m accelerates from 0 to 36 m/s in 6.8 seconds. What is the angular acceleration of the wheel?

a) 1.15 x 101 m
b) 1.39 x 101 m
c) 1.68 x 101 m
d) 2.04 x 101 m
e) 2.47 x 101 m

2 A lead filled bicycle wheel of radius 0.57 m and mass 2.2 kg is rotating at a frequency of 1.7 revolutions per second. What is the moment of inertia?

a) 4.02 x 10-1 kg m2/s2
b) 4.87 x 10-1 kg m2/s2
c) 5.9 x 10-1 kg m2/s2
d) 7.15 x 10-1 kg m2/s2
e) 8.66 x 10-1 kg m2/s2

3 Referring to the previous problem, what is the total kinetic energy if the wheel is rotating about a stationary axis?

a) 1.99 x 101 J
b) 2.29 x 101 J
c) 2.76 x 101 J
d) 3.43 x 101 J
e) 4.08 x 101 J

4

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR2. Two identical disks, each with mass 3.8 kg are attached. The larger disk has a diameter of 0.9 m, and the smaller disk has a diameter of 0.46 m. If a force of 76 N is applied at the rim of the smaller disk, what is the angular acceleration?
Yo yo moment of inertia.jpg

a) 2.03 x 101 s-2
b) 2.45 x 101 s-2
c) 2.97 x 101 s-2
d) 3.6 x 101 s-2
e) 4.36 x 101 s-2


B[edit | edit source]

1 A car with a tire radius of 0.26 m accelerates from 0 to 27 m/s in 9.5 seconds. What is the angular acceleration of the wheel?

a) 1.09 x 101 m
b) 1.32 x 101 m
c) 1.6 x 101 m
d) 1.94 x 101 m
e) 2.36 x 101 m

2 A lead filled bicycle wheel of radius 0.47 m and mass 2.2 kg is rotating at a frequency of 1.9 revolutions per second. What is the moment of inertia?

a) 3.31 x 10-1 kg m2/s2
b) 4.01 x 10-1 kg m2/s2
c) 4.86 x 10-1 kg m2/s2
d) 5.89 x 10-1 kg m2/s2
e) 7.13 x 10-1 kg m2/s2

3 Referring to the previous problem, what is the total kinetic energy if the wheel is rotating about a stationary axis?

a) 3.46 x 101 J
b) 4.2 x 101 J
c) 5.08 x 101 J
d) 6.16 x 101 J
e) 7.46 x 101 J

4 The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR2. Two identical disks, each with mass 2.7 kg are attached. The larger disk has a diameter of 0.87 m, and the smaller disk has a diameter of 0.45 m. If a force of 55 N is applied at the rim of the smaller disk, what is the angular acceleration?

Yo yo moment of inertia.jpg

a) 2.6 x 101 s-2
b) 3.15 x 101 s-2
c) 3.82 x 101 s-2
d) 4.63 x 101 s-2
e) 5.61 x 101 s-2