Assuming we have a cylinder that is rotating on a single axis, how would I go about calculating the torque knowing the following information?
m = 2000 kg
w = 60 rpm
r = 5 m
Homework Statement
the moment of inertia of A cylinder of height 2h radius (a) and uniform mass density ρ about a line x=y=z using multiple integration.
Homework Equations
I=ρ∫s^2*dV where the integral is over the volume V of cylinder and s is the perpendicular distance to the axis of...
Homework Statement
Find the are of the cylinder, by creating a program in C++.
2. The attempt at a solution
So far I have:
#include <iostream>
using namespace std;
const double PI = 3.14159;
class point
{
protected:
int x;
int y;
public:
point()
{
}
point (int xvalue...
Homework Statement
A cylinder shape object with a movable piston is 1.5 times of its own weight. The mass of object is figure. The initial buoyant force of the object is the waterVt.41 R Pititon iri, cylinder is Vi. and P1. Ignore the net volume of the tinder aP Before floating in the water...
Homework Statement
http://i.imgur.com/iVok98y.jpg
Homework Equations
p=ρgh+p0, F=ρVg
The Attempt at a Solution
Obviously wrong scribble except num 1
sorry for the s**ty handwriting look at #7
http://i.imgur.com/59Ew8vJ.jpg
edit: fixed the problems with the photo. look at the links, the forum...
Homework Statement
A cylinder with radius R spins around its axis with an angular speed ω. On its inner surface there lies a small block; the coefficient of friction between the block and the inner sur- face of the cylinder is μ. Find the values of ω for which the block does not slip (stays...
1. The problem statement, all variables, and given/known data
Two vertical cylinders rest on a flat surface, next to each other. Both have a hole on the side at the bottom so that the water can flow from one cylinder to the other without leakage. The diameter of the first cylinder is D1=3 m, the...
Hello,
This is a real simple question but I am having a hard time to answer it.
We have cylinder with outer Radius Ro, Inner Radius Ri. Internal pressure = 0.
External pressure = to be find.
Material is Nylon.
I would like to know:
External pressure Po at which the tube/cylinder will go under...
Homework Statement
Inscribe in a given cone, the height h of which is equal to the radius r of the base, a cylinder (c) whose total area is a maximum. Radius of cylinder is rc and height of cylinder is hc.
Homework Equations
A = 2πrchc + 2πrc2
The Attempt at a Solution
r = h ∴ hc = r - rc
A =...
Homework Statement
Let's have a cylinder in air tunnel. The air is flowing around cylinder. I want to calculate a net force acting on the cylinder. Part of the incoming air hits the cylinder and its trajectory direction changes. For that reason we can see straight behind the cylinder lower...
I want to calculate the pressure profile inside a cylinder whose initial pressure is less than the outside pressure and has a orifice on its surface to flow air through it. Air is a considered as compressible ideal gas and mass flow rate across a orifice is assumed isentropic. Also the...
I am building an apparatus to measure how does fluid speed effect heat transfer from solid on fluid. fluid runs over a cylinder which inner side is kept at a constant temperature. A calculation for surface temperature profile was made for a similar eaxperiment were a flat plate was used instead...
Homework Statement
A non-transclucent container in the form of a cylinder, has a diameter of 3.00 m, has its top part open, and is filled with water. When the sun created a 28.0 degree angle with the horizontal, the light doesn't illuminate the bottom of the container. What's the depth of the...
I'll start with link describing the phenomenon:
https://books.google.com/books?id=WTfnBwAAQBAJ&pg=PA43&lpg=PA43&dq=relativity+twist+rotating+cylinder&source=bl&ots=C2SDJNPF2K&sig=ImFDYGm_0qK7JoDU0ulsxLk3sMU&hl=en&sa=X#v=onepage&q=relativity%20twist%20rotating%20cylinder&f=false
Quote:
"A...
Homework Statement
We place a cylinder with radius R, a sphere with radius R and a sphere with radius (2R). Which of the solids will roll out of the plane first? Assume no rolling resistance and no air resistance.
Homework Equations
1) The net torque is the torque of the force of static...
i know how to calculate the inersia for the cylinder, than i have to take away the inersia of the rectangel, but i can't find an equation for the inersia for a rectangel with the plane spinning perpendicular to the rotation axis, please help !
Homework Statement
[/B]
Note: inner cylinder thickness = 2.5mm
difference between common diameters before shrinking = 4.305x10^-3mm
Homework Equations
The Attempt at a Solution
a) I am not sure where to start without either the inner or outer cylinder diameter but I think I...
Hello,
I did a calculation to determine whether a liquid with a fixed volume ##V##, would be spread over a larger surface area ##A## on the inside mantle of a cylinder, if the cylinder has a larger radius ##r##. So I’d like to find a relationship between the radius ##r## and the area ##A## over...
Homework Statement
A vertical cylinder of radius r contains an ideal gas and is fitted with a piston of mass m that is free to move. The piston and the walls of the cylinder are frictionless, and the entire cylinder is placed in a constant-temperature bath. The outside air pressure is p0. In...
Homework Statement
Mercury is added to a cylindrical container to a depth d and then the rest of the cylinder is filled with water. If the cylinder is 0.8 m tall and the pressure at the bottom is 1.3 atmospheres, determine the depth of the mercury. (Assume the density of mercury to be 1.36 104...
I have a computational project to do for quantum, and I am kind of tired of doing basic barriers, so I decided to try a quadratic barrier. Well, you get garbage. However, since I'm working with numerical approximations anyways, I figured I might try it, but I am not sure how to proceed. Here is...
Homework Statement
Two identical cylinders are released from the top of two identical inclined planes. If one rolls without slipping and the other slips without rolling then which one will reach the bottom first? How will their speeds compare when they reach bottom of incline?
I am not sure if...
Homework Statement
In the open cylindrical chamber is the piston of the total mass m. The initial air pressure inside the container is pa, the initial temperature T0. The initial height of the piston above the bottom h0. Now we start the gas supply heat to the moment when the piston reaches the...
Hello,
I'm designing a machine as a final assignment for my internship. It's a machine that wraps SS tubing around a cylinder, making coils.
While trying to figure out how much torque I'd need to rotate the cylinder I found that I'm really in the dark on the subject (the teacher I had didn't...
Homework Statement
[/B]
A horizontal cylinder with length L=1m and section S=2*10^(-3) is divided in two parts by a piston. In theese compartments is air at pressure p0=10^5N/m^2 and same temperature.
The piston move with h=0,4m from initial position. Which is force to hold piston in this...
Homework Statement
[/B]
A uniform cylinder with radius r is rolling down an incline without slipping as shown in diagram below. It's angular acceleration is α and acceleration of it's center of mass C is a. What will be the linear acceleration of point of contact P and another point Q on the...
Homework Statement
A vertical heat-insulated cylinder is divided into two parts by a movable piston of mass m. Initially, the piston is held at rest. The top part is evacuated and the bottom part is filled with 1 mol of monatomic gas at temperature 300 K. After the piston is released and the...
Homework Statement
Theres a cylinder rod inner radius a outer raidus b.we want to find electric field between a and b,like point r (or radius r) a<r<b.
Homework Equations
Gauss Law
The Attempt at a Solution
[/B]I am trying to find Q enclosed but something make me confused.I am...
Hi! I am a new member to this great Forum! I am so excited to be a part of this wonderful community. Anyway, as the title suggests, I am looking for a way to calculate the pressure in each cylinder of any Four Stroke Engine at any given crank angle of Cylinder One. I have been trying creating a...
Homework Statement
The dielectric cylinder is radius R and thickness d. Origin is at the center of the cylinder, which is oriented along the z-axis. It has polarization P=pz∧I need to calculate the potential V(0,0,h) at h>d/2.
Homework Equations
σb=P⋅n∧...
Homework Statement
The cylinder has a radius a and is perpendicular to the electric field, E(r)=E(x_hat). It also carries charge Q. The potential is of the form V(r,φ)=A0+A0'ln(r)+∑(n=1 to ∞)((Ancos(nφ)+Bnsin(nφ))rn+(An'cos(nφ)+Bn'sin(nφ))r-n)
Homework Equations
V=-∫E⋅dl
The Attempt at a...
Homework Statement
In (Figure 1) take the half-cylinder's radius and length to be 3.4 cm and 15 cm, respectively.
If the electric field has magnitude 5.3 kN/C, find the flux through the open half-cylinder. The surface here is the right half of the surface of a full cylinder. The surface does...
I should be able to do this, but its been a while and maybe I'm making this more difficult that it should be.
Assume you have a cylinder nearly sealed but with an outlet hole at the top. I want to pump a fluid into the canister, pushing the air out of the hole, and time how long it takes. The...
Homework Statement
I want to check my understanding of the symmetry arguments that allow for E to come out Gauss's Law and the symmetry arguments that allow for E vector *dA to become EdA. Specifically for an infinitely long cylinder.
Homework Equations
∫EdA=q/ε
The Attempt at a Solution
So...
Homework Statement
The figure is a section of a conducting rod of radius R1 = 1.60 mm and length L = 11.30 m inside a thin-walled coaxial conducting cylindrical shell of radius R2 = 10.5R1 and the (same) length L. The net charge on the rod is Q1 = +3.67 × 10-12 C; that on the shell is Q2 =...
Homework Statement
We put a cyllinder with unknown mass and radius 0.1m which rotates with angular velocity 10 /s around its geometric axis on the horizontal ground. After what time does the cyllinder roll without slipping? Coefficient of friction is 0.1.
Homework Equations
F=ma
M=J ⋅ ∝
The...
Hi all this is my first post.
Okay I can have a rifle cut into a barrel at any twist rate I want, so I want to see if a cycloid can work for what I want. Now most twist rates are static so as an example one barrel may be 1 turn in 12 inches for 26 inches an example of what is called a gain...
Homework Statement
There is a cyllinder with radius 0.5 m fixed on the wall. We put a 6 metres long thin rod with mass 0.3 kg on it, which does not slip. I would like to calculate the oscillating time. It is a part of a clock, so the oscillating time is probably 1 or 2 seconds, but I got...
Homework Statement
A cylindrical vessel of height ##H## and radius ##R## contains liquid of density ##\rho##. Determine the circumferential tension at a height ##h##; also determine its maximum and minimum values.
This is the scan of the original question(solved), I couldn't understand what...
question 1 The vector field F(x, y, z) = 2xi + 2yey2+z j +(ey2+z + cos z) k is conservative. Find a
corresponding potential function.
* e raise to power (Y square +z)
Question 2
Consider a solid sphere of radius R, a cylindrical shell of outer radius R, inner radius a,
and height h, and a...
Homework Statement
There are a big object and an astronaut in space. How do we calculate the gravitational force between them. I enclose a photo. I have given the mass of an astronaut, the dimensions of this giant ring and density of the ring. There is also a mistake in the photo. The astronaut...
Ok so we all know that when rolling down a fixed incline under gravity, a sphere will beat a cylinder in a race due to the fact that it has less rotational inertia.
However, in the following set up, the cylinder beats the sphere.
Say the cylinder and sphere are side by side on a horizontal...
I have an application where I am trying to figure out the shock load being applied to a metal pin (load cell).
It is a cylindrical load cell which is supported at either end, and compressed in the middle. There is a slight gap between the end supports and the section compressed in the middle...
For Q11(b), what is the relation between the angular acceleration ##\alpha## of the bottom right cylinder and its horizontal acceleration ##a_x##?
I get ##\alpha=\frac{a_x}{\sqrt{3}R}##, which is half the given answer (7.84) below.
After the bottom right cylinder rolls around the top cylinder...
Homework Statement
A long (infinite) wire (cylindrical conductor of radius R, whose axis coincides with the z axis carries a uniformly distributed current I in the +z direction. A cylindrical hole is drilled out of the conductor,
parallel to the z axis, (see figure above for geometry). The...
Homework Statement
Three identical balls fit snugly into a cylindrical can: the radius of spheres equals the radius of can, and the balls just touch the bottom and the top of the can,
If the formula for the volume of a sphere is
V = 4/3 PI * radius * radius * radius, what fraction of the...
Homework Statement
A merry-go-round has a mass of 1440kg and a radius of 7.50m . How much net work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 7.00s? Assume it is a solid cylinder.
Homework Equations
I believe my relevant equations are:
ICYL=½mr2
ω=(Δθ/Δt)...
Homework Statement
Show that a hollow cylinder of radius R_1, outer radius R_2, and mass M, is I=1/2M(R_1^2+R_2^2) if the rotation axis is through the center along the axis of symmetry.
Homework Equations
$$dm = \rho dV$$
$$dV = (2 \pi R)(dR)(h)$$
The Attempt at a Solution
I was mainly...