6maverick6
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Nonuniform Circular Motion--Find time given r, a-sub-t, V-sub-0
A car turns through 60 degrees while traveling on the circumference of a 35m radius circle. The care is traveling at 8.0 m/s as it enters the turn and maintains a constant tangential acceleration of .4m/s2 throughout the turn. How long did it take the car to make the turn?
(A) 2.3s (B) 4.2s (C) 4.9s (D) 8.4s
DATA SUMMARY:
at: .4m/s2
Vo: 8.0m/s
R:35m
at=d|v|/dt=.4m/s2
|V|= \omega *r
\theta= \omega*r
3. The attempt at solution
at=d|v|/dt=.4m/s2
|V|=.4t +8.0 (from integrating at)
\omega= (.4t+8.0)/35 (from |V|=\omega*r)
\theta= \omega*r
(\pi/3= ((.4t+8.0)/35)t= (.4/35) + (8.0t/35)
t=4.6
I get the feeling that there's one crucial equation I'm missing...
Homework Statement
A car turns through 60 degrees while traveling on the circumference of a 35m radius circle. The care is traveling at 8.0 m/s as it enters the turn and maintains a constant tangential acceleration of .4m/s2 throughout the turn. How long did it take the car to make the turn?
(A) 2.3s (B) 4.2s (C) 4.9s (D) 8.4s
DATA SUMMARY:
at: .4m/s2
Vo: 8.0m/s
R:35m
Homework Equations
at=d|v|/dt=.4m/s2
|V|= \omega *r
\theta= \omega*r
3. The attempt at solution
at=d|v|/dt=.4m/s2
|V|=.4t +8.0 (from integrating at)
\omega= (.4t+8.0)/35 (from |V|=\omega*r)
\theta= \omega*r
(\pi/3= ((.4t+8.0)/35)t= (.4/35) + (8.0t/35)
t=4.6
I get the feeling that there's one crucial equation I'm missing...