Question

A flat circular diaphragm of mild steel has a diameter of 15 mm. For mild steel, Young's modulus E=200 GN/m², and Poisson's ratio v=0.28. Find the thickness of the diaphragm if the maximum stress is not to exceed 300 MN/m² when the pressure is 300 kN/m².find the deflection at center for a pressure of 150 kN/m².also calculate the natural frequency of the diaphragm if the density of the mild steel is 7800 kg/m³

Answer 1

In physics, circular motion is a movement of an object along the circumference of a circleor rotation along a circular path. It can be uniform, with constant angular rate of rotation and constant speed, or non-uniform with a changing rate of rotation. The rotation around a fixed axis of a three-dimensional body involves circular motion of its parts. The equations of motion describe the movement of the center of mass of a body.

Examples of circular motion include: an artificial satellite orbiting the Earth at a constant height, a ceiling fan's blades rotating around a hub, a stone which is tied to a rope and is being swung in circles, a car turning through a curve in a race track, an electron moving perpendicular to a uniform magnetic field, and a gear turning inside a mechanism.

Since the object's velocity vector is constantly changing direction, the moving object is undergoing acceleration by a centripetal forcein the direction of the center of rotation. Without this acceleration, the object would move in a straight line, according to Newton's laws of motion