Torque & Rotational Motion Question

In summary, the problem states that a diver is about to jump from a diving board and a force of 1.200 X 10^3 N is exerted on the diver at a 90 degree angle to the board, producing a clockwise torque. The diver's weight also produces a torque in the counterclockwise direction. However, the given information about the net torque acting on the diver and the angles involved do not provide enough information to solve for the length of the diving board. Additionally, the stated problem may contain errors or missing information.
  • #1
Cheapo2004
9
0
Ok, here's a problem on a quiz that i just can't figure out. I'm having trouble drawing it in the first place:
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At the moment before a diver jumps from a diving board, a force of 1.200 X 10^3 N is exerted on teh diver at an angle of 90 degrees to the board. This force produces a torque in the clockwise direction. At the same time, the diver's weight produces a torque in the counterclockwise direction. The diver's mass is 60 kg, and the angle between the diver's weight and the board is 87.7 degrees. If the net torque acting on the diver is 2985 N*m clockwise, what is the length of the diving board?
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For the first part, doesn't my teacher mean NEGATIVE 2985 N because its in the clockwise direction?
Anyways, here's the info i got out of that:

Tnet = 2985 N*m
F1 = 1200 N
F2 = ?
Degrees1 = 90
Degrees2 = 87.7

Any ideas about what equations i could use for this, or what it even looks like?!
 
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  • #2
BUMP

Still need help :frown:
 
  • #3
Cheapo2004 said:
Ok, here's a problem on a quiz that i just can't figure out. I'm having trouble drawing it in the first place:
-----------
At the moment before a diver jumps from a diving board, a force of 1.200 X 10^3 N is exerted on teh diver at an angle of 90 degrees to the board. This force produces a torque in the clockwise direction. At the same time, the diver's weight produces a torque in the counterclockwise direction. The diver's mass is 60 kg, and the angle between the diver's weight and the board is 87.7 degrees. If the net torque acting on the diver is 2985 N*m clockwise, what is the length of the diving board?
------------

For the first part, doesn't my teacher mean NEGATIVE 2985 N because its in the clockwise direction?
Anyways, here's the info i got out of that:

Tnet = 2985 N*m
F1 = 1200 N
F2 = ?
Degrees1 = 90
Degrees2 = 87.7

Any ideas about what equations i could use for this, or what it even looks like?!
Are you sure you have stated the problem correctly? I can't draw it either. A force exerted on the diver can only produce a torque on the diver. Is the first stated force on the diver a force exerted by the board, or is it the total force acting on the diver? The divers weight acts on the diver and can only produce a torque on the diver. Torque is always in reference to some point of rotation. What point are we to use? The logical point is the diver's CM, in which case the weight produces no torque, so all of the torque is due to the first force, a force that can never be found unless we know the distance between the line of the force and the point of rotation. Even if we could find this force, torques applied to the diver have absolutely nothing to do with the length of the board. As stated, I am afraid this is nonsense.
 

FAQ: Torque & Rotational Motion Question

1. What is torque?

Torque is a measure of the force that can cause an object to rotate about an axis. It is calculated by multiplying the force applied to an object by the distance from the point of rotation to the point of application of the force.

2. How is torque different from force?

While force is a push or pull on an object, torque specifically refers to the rotational effect of a force. Force can cause both linear and rotational motion, while torque only causes rotational motion.

3. What factors affect torque?

The two main factors that affect torque are the magnitude of the force applied and the distance from the point of rotation to the point of application of the force. The direction of the force also plays a role in determining the direction of the resulting torque.

4. What is the relationship between torque and rotational motion?

Torque is directly related to rotational motion, as it is the force that causes an object to rotate around an axis. The greater the torque applied to an object, the greater the resulting rotational motion will be.

5. How is torque measured?

Torque is typically measured in units of Newton-meters (N⋅m) or foot-pounds (ft⋅lb). It can be measured directly using a torque wrench or calculated using the formula T = F x d, where T is torque, F is force, and d is the distance from the point of rotation to the point of application of the force.

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