- #1
stu
- 2
- 0
Hi
I have two questions to ask and hopefully someone could help as I am getting little help from my college and work collegues
1) The work done by an air compressor is given by
W = K [ (p1/p2)^(n-1/n) + (p1/p2)^(n-1/n)-2]
where p1,p2,n and K are all constants.
QUESTION - show that the work done is a minimum when p=sqrt(p1p2)
I have no idea where to start on this at all
2) motion of a particle performing damped vibrations is given by x=e^-t * sin 2t (x=displacement in metres and t=time in secs)
Find the times at which x is at a maximum and find the maximum distance for the least positive value of t. Find the acceleration at this point
I have found dx/dt and evaluated it for 0 This gives me an answer of t=31.6 (approx) but when i plug t=31.6 into dx/dt i come out with it equals 0, which suggests to me there is no maximum point but instead a point of inflection. That is about as far as i got on this question before i got stuck.
Any help on either of these question would be much appreciated as i have been trying to get my head around them for a while now with little or no success
Regards
Stuart
I have two questions to ask and hopefully someone could help as I am getting little help from my college and work collegues
1) The work done by an air compressor is given by
W = K [ (p1/p2)^(n-1/n) + (p1/p2)^(n-1/n)-2]
where p1,p2,n and K are all constants.
QUESTION - show that the work done is a minimum when p=sqrt(p1p2)
I have no idea where to start on this at all
2) motion of a particle performing damped vibrations is given by x=e^-t * sin 2t (x=displacement in metres and t=time in secs)
Find the times at which x is at a maximum and find the maximum distance for the least positive value of t. Find the acceleration at this point
I have found dx/dt and evaluated it for 0 This gives me an answer of t=31.6 (approx) but when i plug t=31.6 into dx/dt i come out with it equals 0, which suggests to me there is no maximum point but instead a point of inflection. That is about as far as i got on this question before i got stuck.
Any help on either of these question would be much appreciated as i have been trying to get my head around them for a while now with little or no success
Regards
Stuart