AP Physics Multiple Choice Question

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Homework Help Overview

The discussion revolves around a physics problem involving rotational motion, specifically focusing on angular acceleration and kinetic energy of a spinning wheel when a tangential force is applied. Participants are analyzing the implications of the given parameters such as force, radius, and rotational inertia.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of angular acceleration using torque and rotational inertia, with one participant expressing confusion about the resulting angular velocity and kinetic energy calculations. There is also a comparison made to linear kinematics, questioning the relationship between acceleration and velocity.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the physics concepts involved. Some guidance has been offered regarding the correct approach to relate acceleration and time, but no consensus has been reached on the calculations or outcomes.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can use or the methods they can apply. There is an emphasis on understanding the relationships between different physical quantities in rotational motion.

girlphysics
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5. A force of 12 N is applied tangentially to the rim of a wheel with radius 0.70 m and rotational inertia 3.0 kg-m2. What angular acceleration results?
a) 2.6 rad/s2 b) 2.8 rad/s2 c) 3.2 rad/s2 d) 3.4 rad/s2 e) none of these
____6. If the force in question #5 acts for 20 s, what will be the kinetic energy of the spinning wheel?
a) 4.7 x 103 j b) 4.4 x 102 j c) 4. 7 x 10 j d) 84 j e) none of the above answers is within 10 % of the correct value

I figured out number 5 to be B.) 2.8 rad/s by rF/I from Torque=Ia
For 6, when I solve using K=1/2Iw^2, and using 2.8 rad/s^2 divided by 20 seconds to get the angular velocity of .14 rad/s, I get a really small number, like .03. What am I doing wrong?
 
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girlphysics said:
5. A force of 12 N is applied tangentially to the rim of a wheel with radius 0.70 m and rotational inertia 3.0 kg-m2. What angular acceleration results?
a) 2.6 rad/s2 b) 2.8 rad/s2 c) 3.2 rad/s2 d) 3.4 rad/s2 e) none of these
____6. If the force in question #5 acts for 20 s, what will be the kinetic energy of the spinning wheel?
a) 4.7 x 103 j b) 4.4 x 102 j c) 4. 7 x 10 j d) 84 j e) none of the above answers is within 10 % of the correct value

I figured out number 5 to be B.) 2.8 rad/s by rF/I from Torque=Ia
For 6, when I solve using K=1/2Iw^2, and using 2.8 rad/s^2 divided by 20 seconds to get the angular velocity of .14 rad/s, I get a really small number, like .03. What am I doing wrong?

Suppose this was a regular linear kinematics problem where you have an acceleration a and you want to find the velocity v after some time t, what's the formula?
 
gneill said:
Suppose this was a regular linear kinematics problem where you have an acceleration a and you want to find the velocity v after some time t, what's the formula?

you can't divide acceleration/time to get velocity?
 
girlphysics said:
you can't divide acceleration/time to get velocity?

Nope. What would the resulting units be?
 
(rad/s^2 )/ s
so rad/s which is velocity?
I don't know something in my brain isn't connecting
 
gneill said:
Nope. What would the resulting units be?

No it would be rad/s^3. duh omg
 
girlphysics said:
No it would be rad/s^3. duh omg

:smile:

So, better to multiply acceleration by time then... :wink:
 
thank you! I got A I hope its right!
 
girlphysics said:
thank you! I got A I hope its right!

Looks good.
 

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