A screw Jack has 90 threads to the meter. The effort is applied at the end of an arm 20cm long. What force must be applied to lift a load of 150 newton
one turn lifts the load 1.1 cm ... one 90th of a meter
in one turn , the end of the arm moves ... 20 cm * 2 * π
(40 π / 1.1) is the force amplification
applied force is ... 150 N / (force amplification)
Well, let me do some math... but first, do you mind if I throw in a little screwy humor?
Why did the clown become a handyman? Because he wanted to screw around with tools!
Okay, back to business. To find the force required to lift the load using the screw jack, we can use the formula:
Force = Load / Mechanical Advantage.
The mechanical advantage of a screw jack is determined by the number of threads per meter. In this case, it's 90 threads per meter.
Mechanical Advantage = 1 / (Number of Threads per Meter).
So, the mechanical advantage is 1 / 90 = 0.0111 (rounded to four decimal places).
Now, let's calculate the force:
Force = 150 Newton / 0.0111 ≈ 13,513 Newton (rounded to the nearest whole number).
So, a force of approximately 13,513 Newton must be applied to lift a load of 150 Newton using the given screw jack.
Hope that helps! Let me know if you have any more questions or if you need more clowning around!
To determine the force that must be applied to lift a load of 150 newtons using a screw jack with 90 threads per meter and an arm length of 20cm, we can use the principles of mechanical advantage.
Step 1: Find the pitch of the screw jack
The pitch is the distance between two adjacent threads. In this case, there are 90 threads per meter, so the pitch would be the inverse of this, which is 1/90 meters per thread.
Step 2: Calculate the distance moved per revolution
Since there are 90 threads per meter, and the pitch is 1/90 meters per thread, the distance moved per revolution would be 1 thread/meter × 1/90 meters/thread = 1/90 meter.
Step 3: Determine the mechanical advantage of the screw jack
The mechanical advantage of a screw jack is determined by the ratio of the distance moved per revolution to the length of the lever arm. In this case, the distance moved per revolution is 1/90 meter, and the length of the lever arm is 20cm = 0.2 meters.
Mechanical advantage = distance moved per revolution / length of lever arm = (1/90) meter / 0.2 meter = 1/18
Step 4: Calculate the force required to lift the load
To calculate the force required to lift the load, we need to divide the weight of the load by the mechanical advantage:
Force required = Load weight / mechanical advantage = 150 newtons / (1/18) = 2700 newtons
Therefore, a force of 2700 newtons must be applied to lift a load of 150 newtons using the given screw jack.
To determine the force required to lift a load using a screw jack, we need to use the formula:
`Force (F) = Load (W) / Mechanical Advantage (MA)`
The mechanical advantage of a screw jack can be calculated using the formula:
`MA = Number of threads (N) / Lever Arm (L)`
Given:
Number of threads (N) = 90 threads per meter
Lever arm (L) = 20 cm (or 0.2 meters)
Load (W) = 150 newtons
Step 1: Find the mechanical advantage
The number of threads per meter is given as 90, so the mechanical advantage can be calculated as:
MA = 90 threads/meter / 0.2 meter = 450
Step 2: Calculate the force required
Now we can substitute the known values into the formula:
F = W / MA
F = 150 newtons / 450 = 0.333 newtons
Therefore, a force of approximately 0.333 newtons must be applied to lift a load of 150 newtons using this screw jack.