Yes my calculations were wrong however I did calculate them again and got the write answers through a little research :
K^2 = d^2/8 ( This is for a soild Disk i.e Steel Disk)
Where I=mk^2
Where Iw2 - Iw1 ( change in angular momentum)
As for change in angular kinetic energy you are...
So torque =(M) mass x (K^2) radius of gyration x angular acceleration
:angular acceleration= (M) mass x (K^2) radius of gyration / torque
: angular acceleration= (M) 48.98 kg x (K^2)20x10-3m^2 / (t) 1.5 Nm= 653.06 x 10 -3 rad/s^s
final velocity = initial velocity + angular...
k ^2= radius of gyration hence k^2 = d^2/8
The equation = (I) moment of inertia = mass x radius of gyration
I calculated the mass by :
volume = pie dia^2/4 x length = pie 400 x 10 -3m ^2/ 4 x 50x 10-3m = 6.28 x 10-3m
density= mass / volume :
mass= density x volume = 7800...
I=MK^2
I = 48.98 x 20 x 10^-3 = 979.6 x 10 ^-3 kgm^2/s
Torque = moment of inertia x acceleration
: T = 979.6 x 10 ^-3 kgm^2/s x 10.99 = 10.76 Nm
Applied torque + frictional torque = 10.76 Nm + 1.5 Nm = 12.26 Nm Bracking Torque...
Hope this is correct...
Homework Statement
a light shaft carries a steel disk 400m dia, 50mm thick,density 7800kg/m_3 calculate :
(a) if the frictional resistance is equivalent to a torque of 1.5Nm, determine the braking torque to bring the disk to rest from 43.98 rad/s in 4 secs.
(b) what would be the time...
Homework Statement
a steel disk 400mm in diameter and a mass of 48.98 kg accelerates from 6.28rad/s to 43.98rad/s calculate the change in angular momentum.
Homework Equations
final angular momentum = intial momentum
(I) final x (w) final = (i) initial x (w) intial
I= mr _2...
Had another look today and relised where i have went wrong here is my new answers :
torsion / polar second moment of area = tau/ radius
: (t) 122.78 x 10^3/(j) 0.08545 = (tau) 79.95 x 10 ^6/d/2
: (t) 122.78 x 10 ^3/(tau) 79.95 x 10 ^6 = (j) 0.08545 / d/2
D= 3 square root with...
Homework Statement
assuming that the maximum shear stress and torsion are the same in both shafts design a hollow shaft to replace the solid one . the ratio diameters is to be 0.6 for the maximum shear stress i calculated 79.95 x 10 ^6 mn/m2 and for the torsion i calculated 122.78x10^3 in the...
sorry to reply again as i have misread part (e) in the question
it says if the effort needed to raise a load of 400kg is 17N determine :
the law of the machine.
also should the law of the machine when calculated total 17N
thanks again mark