TORQUE QUESTIONS:

Question 1: A car needs to travel 6000 feet. You have a

choice of using 2 foot radius wheel or a 3 foot radius

wheel. If the wheels spin at 100rpm, how long will each

wheel need to cover the distance?

Question 2: A motor produces 100ft.lbs of torque. If this

motor is connected to a 10 tooth gear, which is connected

to a 50 tooth gear of a compound gear with 50 and 10 teeth

and the 10 tooth gear of the compound gear is connected to

another 50 tooth gear which shares its axle with a 3

foot radius wheel,

a) Calculate the torque at the last gear.

b) If you need to cover 12000 feet in 60 seconds, how much

RPM should your motor make?

Question 3: You need to lift a weight vertically to the

second floor of a building. You have a wheel hanging over

you, so you attach a rope to the weight, swing it over the

wheel and start pulling.

a) If you’re trying to lift a 100 lb weight, how much force

should you apply to lift the weight?

b) If the second floor window is 15 feet high, how much

work are you doing?

c) If 1 watt is .737 ft.lbs/second, and you take 10 seconds

to lift the weight, how many watts of power do you

generate?

Question 4: You have the following gear configuration: 10

tooth meshes with a 50 tooth, which meshes with another 50

tooth, which meshes with a

10 tooth gear. If the motor produces 100 ft.lb of torque

and spins at 100RPM, find the torque and RPMs at the output

gear.

Question 5: You have a motor that produces 200in.lbs of

torque at 25RPMs, and it has a 5" gear permanently attached

to it. Create a system of gears that will allow you to lift

1000lbs using this motor. Calculate the linear speed at

which you'll be lifting those 1000lbs.

Question 6: You have a bunch of gears arranged in a ring

pattern. So for eg, gear 1 connects to gear 2, gear 2

connects to gear 3, gear 3 connects to gear 4, and gear 4

connects back to gear 1. The motor is attached to

gear 1.

If gear 1 has 100 teeth, gear 2 has 75 teeth, gear 3 has 50

teeth, and gear 4 has 25 teeth, would this configuration

cause any problems? Why or why not? What would happen if we

took out the 4th gear, and arranged the remaining three

into a triangle pattern? (This problem is about the

direction the gears are spinning as well as gearing up

down).

PROPORTIONS QUESTIONS:

Question 1: A car gets 20mpg. You have 7 gallons in your

tank. How far can

you travel? 140 miles

Question 2: You need to make a trip to a city that is 100

miles away. Your round trip will be 200 miles. How much gas

will you need? 10 gallons

Question 3: If you drive at 60mph, how long will you need

to get to Boston, which is 240 miles away? 4 hours

Question 4: You have $24 in your pocket. Each bag of candy

has 100 pieces in it, and costs $4. If each kid gets 10

pieces of candy, how many kids can you feed on Halloween?

60 kids

Question 5: Build on question 4. You’re anticipating 120

kids. How much candy should you give each kid if you’re not

planning on going over your budget? 5 pieces each kid