in the case of the washing macine why is the acceleration so high?..its hard to imagine such a big number for its acceleration when the velocity is so much lower...
it's angular acceleration on the other hand acceleration is high as to keep the whirl motion so that clothes may be washed thoroughly. its again like after a certain number of rotations the direction of current is reversed thus the rotation of machine reverses opposing the momentum of water. you need a heavy motor to do such a task. a small motor may not take such a load.
Simple language, just to create more turbulence.. and the motor is design for low speed high torque, to take the load inside the machine..
Acceleration is a change in velocity. But remember velocity is a vector so it has a speed AND direction. So an acceleration doesn't always mean that you're changing speed. An acceleration in this case is a change in direction, and since it's going in a circle and not a straight line it is constantly accelerating by changing direction!
im still not getting how changing direction adds metres per second...is it something to do with how far on the circumference the radius line covers in a second?
the area it covers travelling in one second..
think about this, follow a single point along the circumference of the washing machines drum... at any time (lets say at time t= 0) that point has a velocity vector in the x and y directions that are tangential to the circumference ( and a z component if your washing machine is rocking). A fraction of a second later (t+dt) that point has moved further along the circumference. its tangential velocity has different x and y coordinates. we know that acceleration is dv/dt (change in velocity divided by change in time, remember velocity is a vector) an example. V(at t=0sec) = <5i+2j> V(at=5sec)=<2i+5> the velocities magnitude are the same, |V| = Squareroot(29) a=dv/dt dv = V(5) - V(0) = <-3i+3j> [m/s] dt = 5-0 = 5 [seconds] dv/dt =<-3i+3j> / 5 seconds =squareroot(18)/5 [m/s^2] =0.848 m/s^2
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