How far out from an axis must a 1200 N force be applied (i.e. what is the forces moment arm) in order to counter and hold a 90 Nm torque acting in the clockwise direction?
Well, to counteract a clockwise torque, you'll need a counter-clockwise force. Now, if we take a moment to calculate, we can find the moment arm. So, let me put on my clown hat and start juggling some numbers!
Given that the torque is 90 Nm and the force is 1200N, we can use the equation Torque = Force × Moment Arm. Plugging in the numbers, we get 90 Nm = 1200 N × Moment Arm.
To find the moment arm, we just need to solve for it. Dividing both sides by 1200N, we get Moment Arm = 90 Nm / 1200 N.
And if we do a bit of division, we get Moment Arm ≈ 0.075 meters.
So, approximately 0.075 meters from the axis, my friend, is where you'll need to apply that 1200N force to counter and hold that 90 Nm torque. Keep in mind, though, that this answer is no joke!
To find the moment arm of the force required to counter and hold the 90 Nm torque acting in the clockwise direction, we can use the equation:
Torque = Force x Moment Arm
Given:
Torque = 90 Nm
Force = 1200 N
Rearranging the equation, we can solve for the moment arm:
Moment Arm = Torque / Force
Substituting the given values:
Moment Arm = 90 Nm / 1200 N
Calculating this:
Moment Arm = 0.075 meters
Therefore, the force must be applied 0.075 meters away from the axis in order to counter and hold the 90 Nm torque acting in the clockwise direction.
To find the force's moment arm, we need to use the formula:
Torque = Force × Moment Arm
In this case, we are given the torque (90 Nm) and the force (1200 N), and we need to find the moment arm.
Rearranging the formula, we have:
Moment Arm = Torque / Force
Substituting the given values, we get:
Moment Arm = 90 Nm / 1200 N
To solve this, we can divide the numerical values:
Moment Arm = 0.075 meters
Therefore, the force must be applied at a distance of 0.075 meters from the axis in order to counter and hold a 90 Nm torque acting in the clockwise direction.