So I'm having difficulty finding how this teacher of mine arrived at his answers and wondered if anyone could be of some help
In this one problem there's a shaft with a diameter of 6 inches that can turn at a rate of 200 rpms, what is the power it can deliver given that the shaft can't exceed a shear stress of 18E3 ksi
So T=P/W (w being rotations) to find the power and T(shear)= Tc/J
Not sure if I should just leave it at 200 rpms or convert to radians per second but given the variables I'm given I solved for torque by inputting the cutting the diameter into half giving me a radius of 3 inches and dividing that over the moment of polar inertia (J) which is pi/2 (radius)^4 and equaling it out to the shear stress it can't exceed. From there I get my torque and can not plug it in to T=P/W and once I get my value for P (power) I convert that into horsepower, which should be 12 but that's not what I'm getting.
NEXT question
angle of twist given a shaft with counterclockwise and clockwise torques being 14 kn*m to the left separated by 2 meters from a torque going to the right of 22 kn*m separated by another torque going 19 kn*m with a separation of distance of 3.5 meters and a final toruqe separated a distance of 2.5 meters with a 11 kn*m torque value going to the right. G=26GPA the shaft is hollow with an outer diameter of 80 mm and a wall thickness of 40 mm
formula for angle of twist is TL/JG
I keep getting .13 for that but it should be .181 for an angle of twist
I know this was a mouthful but I have no adequate tutors in my area to help me out with this and everyone in my class is clueless about it so if you guys can help me out somehow I would appreciate it. For the latter problem I'm I don't know how I should designate the distance and the torque and whether - or + values should be placed inversely.U
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