Constants I Periodic TableSubmitPrevious Answers(Figure 1)The car shown in the figure has mass m (this includesthe mass of the wheels). The wheels have radius r, mass mw,and moment of inertia I = kmwr2. Assume that the axles applythe same torque T to all four wheels. For simplicity, also assumethat the weight is distributed uniformly so that all the wheelsexperience the same normal reaction from the ground, and so thesame frictional force.CorrectWith this expression for the normal force on each tire we can now examine an interesting side-note. This isn't crucial for the remainder of thisquestion, but it is interesting. The coefficient of friction u between rubber and cement is about 0.9. Also, the maximum frictional force is fm = uNSubstituting for f and N in the scalar expression of Newton's second law Fnetcar would go from 0 to 60 mph in only about 3 seconds! Of course, air resistance becomes significant at higher speeds, so this simple model doesnot give accurate results. However, many race car models can accelerate from 0 to 60 mph in about 3.3 seconds.max= ma gives (a)max = /ug^ 8.8 m/s2. With this acceleration, thePart DNow assume that the frictional force f is not at its maximum value. What is the relation between the torque T applied to each wheel by the axles and theacceleration a of the car? Once you have the exact expression for the acceleration, make the approximation that the wheels are much lighter than the car as awhole.Figure1 of 1Express your answer in terms of some or all of the variables m, r, T and the magnitude of the acceleration due to gravity g.View Available Hint(s)ν ΑΣφ?SubmitProvide FeedbackNext

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Asked Oct 29, 2019
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Part D

Constants I Periodic Table
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Previous Answers
(Figure 1)The car shown in the figure has mass m (this includes
the mass of the wheels). The wheels have radius r, mass mw,
and moment of inertia I = kmwr2. Assume that the axles apply
the same torque T to all four wheels. For simplicity, also assume
that the weight is distributed uniformly so that all the wheels
experience the same normal reaction from the ground, and so the
same frictional force.
Correct
With this expression for the normal force on each tire we can now examine an interesting side-note. This isn't crucial for the remainder of this
question, but it is interesting. The coefficient of friction u between rubber and cement is about 0.9. Also, the maximum frictional force is fm = uN
Substituting for f and N in the scalar expression of Newton's second law Fnet
car would go from 0 to 60 mph in only about 3 seconds! Of course, air resistance becomes significant at higher speeds, so this simple model does
not give accurate results. However, many race car models can accelerate from 0 to 60 mph in about 3.3 seconds.
max
= ma gives (a)max = /ug^ 8.8 m/s2. With this acceleration, the
Part D
Now assume that the frictional force f is not at its maximum value. What is the relation between the torque T applied to each wheel by the axles and the
acceleration a of the car? Once you have the exact expression for the acceleration, make the approximation that the wheels are much lighter than the car as a
whole.
Figure
1 of 1
Express your answer in terms of some or all of the variables m, r, T and the magnitude of the acceleration due to gravity g.
View Available Hint(s)
ν ΑΣφ
?
Submit
Provide Feedback
Next
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Constants I Periodic Table Submit Previous Answers (Figure 1)The car shown in the figure has mass m (this includes the mass of the wheels). The wheels have radius r, mass mw, and moment of inertia I = kmwr2. Assume that the axles apply the same torque T to all four wheels. For simplicity, also assume that the weight is distributed uniformly so that all the wheels experience the same normal reaction from the ground, and so the same frictional force. Correct With this expression for the normal force on each tire we can now examine an interesting side-note. This isn't crucial for the remainder of this question, but it is interesting. The coefficient of friction u between rubber and cement is about 0.9. Also, the maximum frictional force is fm = uN Substituting for f and N in the scalar expression of Newton's second law Fnet car would go from 0 to 60 mph in only about 3 seconds! Of course, air resistance becomes significant at higher speeds, so this simple model does not give accurate results. However, many race car models can accelerate from 0 to 60 mph in about 3.3 seconds. max = ma gives (a)max = /ug^ 8.8 m/s2. With this acceleration, the Part D Now assume that the frictional force f is not at its maximum value. What is the relation between the torque T applied to each wheel by the axles and the acceleration a of the car? Once you have the exact expression for the acceleration, make the approximation that the wheels are much lighter than the car as a whole. Figure 1 of 1 Express your answer in terms of some or all of the variables m, r, T and the magnitude of the acceleration due to gravity g. View Available Hint(s) ν ΑΣφ ? Submit Provide Feedback Next

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Expert Answer

Step 1

Write the expression for net force in the vertical direction and equate with the Newton’s second law,

f is the friction force in each wheel
F = 4f
4f ma
4f
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f is the friction force in each wheel F = 4f 4f ma 4f

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Step 2

Write the expression for torque in ...

f
[2]
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f [2]

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