Question

RCF=[(rpmx2pi)/60]^2 x r/980 How would I rearrange this to solve for rpm? Please show steps! Thanks :

Answer 1

RCF=[(rpmx2pi)/60]^2 x r/980

(980)(RCF)/r=[(rpmx2pi)/60]^2

((980)(RCF)/r)^(1/2)=[(rpmx2pi)/60]

[((980)(RCF)/r)^(1/2)](60)=(rpmx2pi)

[((980)(RCF)/r)^(1/2)](60/2pi)=rpm

Answer 2

using the nomograph I'm not getting the same answer?

Answer 3

what are the values for r and RCF

Answer 4

7 cm for the radius and 600 RCF

Answer 5

i got rpm = 2767.64

are you sure everything is in the same units?

Answer 6

Can u please go over the steps of how your calculating it? Perhaps i'm doing it wrong..the answer using the graph is aprox 2760

Answer 7

RCF=[(rpmx2pi)/60]^2 x r/980

multiply both sides by reciprocal of r/980...which is 980/r

(980)(RCF)/r=[(rpmx2pi)/60]^2

take the square root of both sides

((980)(RCF)/r)^(1/2)=[(rpmx2pi)/60]

multiply both sides by reciprocal of 2pi/60... which is 60/2pi

[((980)(RCF)/r)^(1/2)](60/2pi)=rpm


RCF=600, r=7

[(980)(600)/7]^(1/2)[60/2pi]=rpm

multiply: 980x600

[(588000/7]^(1/2)[60/2pi]=rpm

divide: 588000/7

[(84000]^(1/2)[60/2pi]=rpm

Take the square root of 84000

[289.827][60/2pi]=rpm

multply 289.827 by 60

17389.65/2pi=rpm

divide 17389.65 by 2

8694.826/pi=rpm

divide 8694.826 by pi

2767.64909=rpm

Answer 8

Thank you so much!! I forgot to square root! You're amazing! Thanks again :)

Answer 9

no prob! glad to be of help