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Torque worksheet

Grades 6–7 · CCSS 6.RP.A.3.d

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Torque: 140
- From: Pound-force inches (lbf·in)
- To: Newton meters (N·m)
Find: In newton meters
Answer
2.
Problem 2.
- Torque: 120
- From: Pound-force inches (lbf·in)
- To: Kilogram-force meters (kgf·m)
Find: In kilogram-force meters
Answer
3.
Problem 3.
- Torque: 80
- From: Newton meters (N·m)
- To: Pound-force feet (lbf·ft)
Find: In pound-force feet
Answer
4.
Problem 4.
- Torque: 68
- From: Pound-force feet (lbf·ft)
- To: Kilogram-force meters (kgf·m)
Find: In kilogram-force meters
Answer
5.
Problem 5.
- Torque: 90
- From: Pound-force inches (lbf·in)
- To: Kilogram-force meters (kgf·m)
Find: In kilogram-force meters
Answer
6.
Problem 6.
- Torque: 120
- From: Kilogram-force meters (kgf·m)
- To: Kilonewton meters (kN·m)
Find: In kilonewton meters
Answer
7.
Problem 7.
- Torque: 80
- From: Kilonewton meters (kN·m)
- To: Kilogram-force meters (kgf·m)
Find: In kilogram-force meters
Answer
8.
Problem 8.
- Torque: 82
- From: Newton meters (N·m)
- To: Kilogram-force meters (kgf·m)
Find: In kilogram-force meters
Answer
9.
Problem 9.
- Torque: 120
- From: Pound-force inches (lbf·in)
- To: Ounce-force inches (ozf·in)
Find: In ounce-force inches
Answer
10.
Problem 10.
- Torque: 140
- From: Kilonewton meters (kN·m)
- To: Kilogram-force meters (kgf·m)
Find: In kilogram-force meters
Answer

Answer key: Torque worksheet

1. In newton meters: 15.82 N·m
1. Change to newton meters first. Each unit is a set number of them: 1 lbf·in = 0.112984829 N·m, so multiply
  $140 lbf·in \times 0.112984829$ $= 15.8178760639 N·m$
2. In kilogram-force meters: 1.38 kgf·m
1. Change to newton meters first. Each unit is a set number of them: 1 lbf·in = 0.112984829 N·m, so multiply
  $120 lbf·in \times 0.112984829$ $= 13.5581794833 N·m$
2. Then change newton meters into kilogram-force meters: 1 kgf·m = 9.80665 N·m, so divide
  $\frac{13.5581794833 N·m}{9.80665}$ $= 1.3825495438 kgf·m$
3. In pound-force feet: 59 lbf·ft
1. Then change newton meters into pound-force feet: 1 lbf·ft = 1.3558179483 N·m, so divide
  $\frac{80 N·m}{1.3558179483}$ $= 59.0049719422 lbf·ft$
4. In kilogram-force meters: 9.4 kgf·m
1. Change to newton meters first. Each unit is a set number of them: 1 lbf·ft = 1.3558179483 N·m, so multiply
  $68 lbf·ft \times 1.3558179483$ $= 92.1956204865 N·m$
2. Then change newton meters into kilogram-force meters: 1 kgf·m = 9.80665 N·m, so divide
  $\frac{92.1956204865 N·m}{9.80665}$ $= 9.4013368976 kgf·m$
5. In kilogram-force meters: 1.04 kgf·m
1. Change to newton meters first. Each unit is a set number of them: 1 lbf·in = 0.112984829 N·m, so multiply
  $90 lbf·in \times 0.112984829$ $= 10.1686346125 N·m$
2. Then change newton meters into kilogram-force meters: 1 kgf·m = 9.80665 N·m, so divide
  $\frac{10.1686346125 N·m}{9.80665}$ $= 1.0369121578 kgf·m$
6. In kilonewton meters: 1.18 kN·m
1. Change to newton meters first. Each unit is a set number of them: 1 kgf·m = 9.80665 N·m, so multiply
  $120 kgf·m \times 9.80665$ $= 1,176.798 N·m$
2. Then change newton meters into kilonewton meters: 1 kN·m = 1,000 N·m, so divide
  $\frac{1,176.798 N·m}{1,000}$ $= 1.176798 kN·m$
7. In kilogram-force meters: 8,157.73 kgf·m
1. Change to newton meters first. Each unit is a set number of them: 1 kN·m = 1,000 N·m, so multiply
  $80 kN·m \times 1,000$ $= 80,000 N·m$
2. Then change newton meters into kilogram-force meters: 1 kgf·m = 9.80665 N·m, so divide
  $\frac{80,000 N·m}{9.80665}$ $= 8,157.7297038234 kgf·m$
8. In kilogram-force meters: 8.36 kgf·m
1. Then change newton meters into kilogram-force meters: 1 kgf·m = 9.80665 N·m, so divide
  $\frac{82 N·m}{9.80665}$ $= 8.3616729464 kgf·m$
9. In ounce-force inches: 1,920 ozf·in
1. Change to newton meters first. Each unit is a set number of them: 1 lbf·in = 0.112984829 N·m, so multiply
  $120 lbf·in \times 0.112984829$ $= 13.5581794833 N·m$
2. Then change newton meters into ounce-force inches: 1 ozf·in = 0.0070615518 N·m, so divide
  $\frac{13.5581794833 N·m}{0.0070615518}$ $= 1,920 ozf·in$
10. In kilogram-force meters: 14,276.03 kgf·m
1. Change to newton meters first. Each unit is a set number of them: 1 kN·m = 1,000 N·m, so multiply
  $140 kN·m \times 1,000$ $= 140,000 N·m$
2. Then change newton meters into kilogram-force meters: 1 kgf·m = 9.80665 N·m, so divide
  $\frac{140,000 N·m}{9.80665}$ $= 14,276.026981691 kgf·m$