Torque exerted by a cylinder's weight

In summary, the conversation discusses the torque exerted by a cylinder held horizontally at a point of contact. The formula for torque is provided, taking into account the radius, length, and density of the cylinder as well as the change in radius, density, and time. The difference between r_1 and r_2 is not specified, and it is assumed that the 60pi*(change in time) part can be ignored when calculating the torque of horizontal moments. It is also clarified that the variable "p" refers to density (ρ).
  • #1
24forChromium
155
7
Imagine a person holding a stick horizontally, the stick is in the shape of a cylinder, with radius(r), length(L), and density(rho), consider the contacting area between the hand and the stick to be a point at the centre of the circular surface pointing toward the person, what is the torque exerted by the cylinder around the point of contact (as the pivot)?
 
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  • #2
T = (pL(r24-r14) × ((change in r)(p)(m)) * 2pi)

All of that divided by

60pi*(change in time)
 
  • #3
CentrifugalKing said:
T = (pL(r24-r14) × ((change in r)(p)(m)) * 2pi)

All of that divided by

60pi*(change in time)
Can you explain what is the difference between r_1 and r_2 please? Also, I am looking for the torque of the moments of time in which the stick is horizontal, so can I assume that I can ignore the 60pi*(change in time) part?

I assume that you meant ρ when you typed "p", is that what it is?
 

FAQ: Torque exerted by a cylinder's weight

What is torque exerted by a cylinder's weight?

Torque exerted by a cylinder's weight is the measure of the rotational force produced by the weight of a cylinder around an axis. It is a vector quantity with units of newton-meters (N*m).

How is torque exerted by a cylinder's weight calculated?

The torque exerted by a cylinder's weight can be calculated by multiplying the weight of the cylinder by the distance from the cylinder's center of mass to the axis of rotation.

What factors affect the torque exerted by a cylinder's weight?

The torque exerted by a cylinder's weight is affected by the weight of the cylinder, the distance from the center of mass to the axis of rotation, and the angle between the weight and the axis of rotation. Additionally, the force of gravity and any external forces acting on the cylinder can also impact the torque.

Why is torque exerted by a cylinder's weight important?

Torque exerted by a cylinder's weight is important because it helps us understand the rotational motion of objects. It is also a crucial factor in determining the stability and balance of structures and machines that involve rotating cylinders.

How can torque exerted by a cylinder's weight be increased?

To increase the torque exerted by a cylinder's weight, either the weight of the cylinder or the distance from the center of mass to the axis of rotation can be increased. Alternatively, the angle between the weight and the axis of rotation can be changed to increase the torque. Additionally, external forces can also be applied to increase the torque.

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