Homework Statement
500 kg/hr of steam drives a turbine. The steam enters the turbine at 60 bara and 500C at a linear velocity of 5.0 m/s. After driving a set of turbine wheels to generate shaft power, the steam exhausts from a pipe that is 10 m below the entrance pipe at 35.0 m/s and at 2.5...
Homework Statement
The balance wheel of a watch is a thin ring of radius 0.95 cm and oscillates with a frequency of 3.10 Hz. If a torque of 1.1x10-5 Nm causes the wheel to rotate 45°, calculate the mass of the balance wheel.
Homework Equations
I=mr2
T=(2π)sqrt(I/mgh)
τ=-Kθ
The...
Ok, so I set up a force diagram and did the following work but I'm stuck again...
At equilibrium:
Ʃτ=Kxol-mg(l/2)=0
After it's been stretched:
Ʃτ=K(x+xo)-mg(l/2)=Iα
This then simplifies to:
Iα=kxol
I wrote α as the second derivative of θ with respect to time but now I'm stuck...
Homework Statement
A uniform meter stick of mass M is pivoted on a hinge at one end and held horizontal by a spring with spring constant k attached at the other end. If the stick oscillates up and down slightly, what is its frequency?
Homework Equations
τ=rFsinθ
f=(1/2π)√(k/m)
F=kx...
Ah, you again. Thanks for the help! :)
I wish I could show you the diagram on my paper... it demonstrates the problem a lot better. The axle itself is rotating with angular velocity ω. There might not necessarily be a ball at the end of the axle but the point at the end of the axle is...
Homework Statement
A ball of mass m is attached via a rod of length x to an axle that rotates with angular velocity ω. You can consider the ball to be a point mass.
m = 5 kg, x = 0.3 m, y = 0.4 m, ω= 30 rad/s
(a) What is the linear momentum (direction and magnitude) of the ball?
(b) What...
Homework Statement
A solid disk of mass m and radius R rolls without slipping with a velocity v. Assuming it doesn't slip, how far vertically will it roll up an incline?
Homework Equations
I=0.5mr2
E=0.5Iω2
KE=0.5mv2
PE=mgh
The Attempt at a Solution
I'm thinking that we need to...
Homework Statement
Find the pH in 50.0 mL of 1.00M HCl + 50.0 mL of 1.00M HF
Homework Equations
None to speak of really...
The Attempt at a Solution
I figured out [HCl] and [HF] in the solution: they're both 0.5M.
I have absolutely no idea what to do at this point... Thanks.
Homework Statement
A string passing over a pulley has a 3.80-kg mass hanging from one end and a 3.15-kg mass hanging from the other end. The pulley is a uniform solid cylinder of radius 4.0 cm and mass 0.80 kg. If the bearings of they pulley were frictionless, what would be the acceleration...