Help me with Rotation Problem plz!?

Question

I am stuck. I have a problem in my physics class. And i need to figure out torques. Say I am applying 80 N force and rotating a gear, the handle that im pushing on is 20 cm from center and the edge of the gear is 30 cm from the center. This gear rotates a smaller gear. What would torque be of the smaller gear if it has a 2 Nm torque in resistance to turning! Please help me! Another question that I have is - if I am turning this gear at a handle with 80 N force, what force would be at the edge of my gear? I appreciate it!

smaller gear has a radius of 5 cm

Answer 1

Note: smaller gear has a radius of 5 cm

Step 1.) The handle is a lever, so the force applied is F * ratio of handle length to gear radius (because the handle is connceted to the gear).
Fa = F * 20cm / 30cm = 2/3 * 80 = 53 1/3 N applied by the large gear on the small gear.

Step 2.) Remember: Torque = r * F.
F = 53 1/3N from above.
Total Torque = Torque applied - Torque resistance
Tt = 53 1/3 N * .05m - 2 N-m
Tt = 2 2/3 N - 2 N-m = 2/3 Nm torque on the small gear. (solution).

2.) I'm not sure which gear you're turning, so I'll assume it's the small gear - we already calculated the force at the edge of the large gear if the handle is attached to it.

If the handle is attached to the small gear, then the ratio of the handle length to gear radius is 4. The force is therefore 4 * force applied = 320 N.

The key here to remember is that a handle only is useful if it larger than the other side of the lever (be it a gear, or whatever) - otherwise the handle diminishes your force.

Answer 2

i can respond to one in each of your questions. a million) Water isn't densest at 4* Celsius. enable me clarify myself. while the different ingredient / liquid is cooled, its density continuously decreases because of the fact the temperature is decreased. whether this would not prepare on water. while water is cooled until eventually 4* Celsius, its shows shrink in density yet while the temperature is delivered everywhere between 4* Celsius - 0* Celsius, it truly is density slightly will enhance. it is customary as anomalous enhance of water. So in international locations that have temperature decrease than 0* Celsius, water freezes to form snow. additionally the snow is way less dense and would not dissolve in water. as a replace it evaporates. subsequently blizzard is achieveable in international locations having temperature decrease than 0* Celsius. i'll purpose to look for an answer on your 2d question. -- Broledh