Linear speed and reaction forces

AI Thread Summary
The discussion focuses on calculating linear speed and reaction forces related to a bicycle and a stalled vehicle on a bridge. The linear speed of the bicycle is confirmed to be 2 m/s when the wheels rotate at 1 rev/sec. For the stalled vehicle, the reaction forces at the bridge supports are identified as 2,500 N and 7,500 N, with a correction noted for an extra zero in the latter value. The conversation also touches on the conversion of revolutions per second to radians per second, emphasizing the importance of understanding angular speed. Overall, the calculations and concepts related to linear speed and reaction forces are clarified and validated.
aneima6
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Just checking these other problems

1)Bicycle has wheels with circumference of 2m. What is the linear speed of the bicycle when the wehels rotate at 1 rev/sec.
2m/s

2) A 10,000N vehicle is stalled 1/4 the way across a bridge. What are the two additional recation forces that are supplied at the supprot of both ends of the bridge?
2,500 and 7,5000N
 
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You must change the 1 rev/sec into rad per sec

1 rev = 2*pi rad
 
The second one looks good, but I think you accidentally wrote an extra zero on the 7,500 N :)
 
alright

V= R * angular speed?

Radius:
C=pi*d
2meters=3.14*d
.6366=d
d=2r
.6366=2r
Radius=.318meters

angular speed= 6.283185308 radians * ? is it 2meters?
 
Spectre5 said:
You must change the 1 rev/sec into rad per sec

1 rev = 2*pi rad
The cirumference is given, not the radius. So 2m/s is correct.
 
oh, didn't pay close enough attention...sorry for any confusion aneima6!
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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