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fox2005eng
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Homework Statement
Hi for all, basically I have a mass of 25Kg, want to move this mass with speed upto 12m/s for 15 meter long, where the mass held on 4 wheel (R= 50mm) and moving on aluminum alloy rails. I want to know the force needed and torque required, so I can be able to choose the suitable DC motor required.
actually I have tried most formulas but with no luck, as I don't know the friction coefficient.
However,
what is the suitable formulas are required here according to my question?
steps of calculations if possible?
Thanks in Advance.
Homework Equations
The Attempt at a Solution
1 – Find the time:
Given:
Velocity = 12 (m/s).
V: Velocity (m/s).
x: Distance (m).
t: Time (sec).
According to the rail length, which is = 14.9728 (m)
Time taken from the beginning of the rail until the end at speed of 12 (m/s) is:
t=V/x
= 1.2477 (seconds) taken from start of the rail until the end.
2- Find the acceleration:
V: Final velocity = 12(m/s)
V0: Initial velocity = 0 (m/s)
a: Acceleration (m/s2).
t: Time (seconds).
V=V0+2at
a = 9.62 (m/s2).
3- Find the Force:
Mass of the machine is 25 Kg , acceleration is 9.62 (m/s2), by using equation of motion can obtain the required force, by the following formula:
Newton second law:
F=ma
F: Force (N).
m: Mass = 25 Kg.
a: Acceleration = (m/s2).
Assume no friction "Ignore Friction":
F= 240.5 (N).
4- Find required torque:
Torque depends on force:
T = F x r sin theta ,
F= 240.5 (N)
r: wheel radius = 0.05 (m).
theta : Angle = 90.
T= 12 (N.m).
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