AP Physics Multiple Choice Question

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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!