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Mathematics 20 Online
OpenStudy (anonymous):

Is it possible to convert rpm into kmph? How?

OpenStudy (anonymous):

The radius of the wheel has to be known for that

OpenStudy (anonymous):

let's say it's just 30 rpm. Is it possible to make it kmph?

OpenStudy (anonymous):

you cant though? isnt that angular velocity

OpenStudy (anonymous):

what does that mean?

OpenStudy (anonymous):

Assuming you know the radius is r And your value is n rpm n rpm means an angular distance of 2pin radians per minute hence pi(n)/30 rad/s now x = r (theta) so v = r x w Hence v= r x pi(n)/30

OpenStudy (anonymous):

wait. please do it slowly!!

OpenStudy (agent47):

You will need to know the radius.

OpenStudy (anonymous):

Let's say a radius is given to be 10 cm. What then?

OpenStudy (agent47):

Hang on, I just did this stuff today, need to pull up some formulas.

OpenStudy (anonymous):

okay

OpenStudy (agent47):

V^2/r=w^2*r

OpenStudy (agent47):

where V is the velocity, w is the angular acceleration and r is the radius.

OpenStudy (agent47):

So V^2=w^2*r^2 V=w*r

OpenStudy (agent47):

Convert rpms to rphrs

OpenStudy (anonymous):

So to convert ang vel to linear velocity u need to multiply with the radius

OpenStudy (anonymous):

what are v, r and w?

OpenStudy (anonymous):

Agent47: He needs to multiply with 2pi

OpenStudy (agent47):

well, I guess, I derived it from this formula: a_c=V^2/r=w^2r

OpenStudy (agent47):

a_c = centripetal acceleration r= radius V=linear velocity w=angular velocity.

OpenStudy (anonymous):

v: Linear velocity, measured in kmph r:radius w: angular velocity

OpenStudy (agent47):

angular velocity is already in rotations per time unit, so I don't think the 2pi is necessary

OpenStudy (anonymous):

But u need to convert to SI unit, which is rad/s

OpenStudy (agent47):

oh yea, good point

OpenStudy (anonymous):

Only then can u get to kmph

OpenStudy (anonymous):

uh so what's the formula?

OpenStudy (anonymous):

See Velocity(kmph) = r x Angular velocity(rpm)

OpenStudy (anonymous):

Basic formula is this..now u need conversion

OpenStudy (anonymous):

rpm is angular velocity?

OpenStudy (agent47):

ok, not using any physics... |dw:1340341851002:dw| d=2pi*r, so in 1 minute, he travels that much distance

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