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Power 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.
- Power: 140
- From: Metric horsepower (PS)
- To: Watts (W)
Find: In watts
Answer
2.
Problem 2.
- Power: 120
- From: Megawatts (MW)
- To: Metric horsepower (PS)
Find: In metric horsepower
Answer
3.
Problem 3.
- Power: 80
- From: Kilowatts (kW)
- To: Foot-pounds force per second (ft·lbf/s)
Find: In foot-pounds force per second
Answer
4.
Problem 4.
- Power: 68
- From: Foot-pounds force per second (ft·lbf/s)
- To: BTU per hour (BTU/h)
Find: In btu per hour
Answer
5.
Problem 5.
- Power: 90
- From: Megawatts (MW)
- To: BTU per hour (BTU/h)
Find: In btu per hour
Answer
6.
Problem 6.
- Power: 120
- From: BTU per hour (BTU/h)
- To: Kilowatts (kW)
Find: In kilowatts
Answer
7.
Problem 7.
- Power: 80
- From: Kilowatts (kW)
- To: BTU per hour (BTU/h)
Find: In btu per hour
Answer
8.
Problem 8.
- Power: 82
- From: Kilowatts (kW)
- To: Metric horsepower (PS)
Find: In metric horsepower
Answer
9.
Problem 9.
- Power: 120
- From: Megawatts (MW)
- To: BTU per hour (BTU/h)
Find: In btu per hour
Answer
10.
Problem 10.
- Power: 140
- From: Mechanical horsepower (hp)
- To: Metric horsepower (PS)
Find: In metric horsepower
Answer

Answer key: Power worksheet

1. In watts: 102,969.83 W
1. First convert to watts, the shared unit every conversion goes through. 1 PS = 735.49875 W, so multiply
  $140 PS \times 735.49875$ $= 102,969.825 W$
2. In metric horsepower: 163,154.59 PS
1. First convert to watts, the shared unit every conversion goes through. 1 MW = 1,000,000 W, so multiply
  $120 MW \times 1,000,000$ $= 120,000,000 W$
2. Convert the watts to metric horsepower. 1 PS = 735.49875 W, so divide
  $\frac{120,000,000 W}{735.49875}$ $= 163,154.5940764685 PS$
3. In foot-pounds force per second: 59,004.97 ft·lbf/s
1. First convert to watts, the shared unit every conversion goes through. 1 kW = 1,000 W, so multiply
  $80 kW \times 1,000$ $= 80,000 W$
2. Convert the watts to foot-pounds force per second. 1 ft·lbf/s = 1.3558179483 W, so divide
  $\frac{80,000 W}{1.3558179483}$ $= 59,004.9719421812 ft·lbf/s$
4. In btu per hour: 314.58 BTU/h
1. First convert to watts, the shared unit every conversion goes through. 1 ft·lbf/s = 1.3558179483 W, so multiply
  $68 ft·lbf/s \times 1.3558179483$ $= 92.1956204865 W$
2. Convert the watts to btu per hour. 1 BTU/h = 0.2930710702 W, so divide
  $\frac{92.1956204865 W}{0.2930710702}$ $= 314.5845150542 BTU/h$
5. In btu per hour: 307,092,746.98 BTU/h
1. First convert to watts, the shared unit every conversion goes through. 1 MW = 1,000,000 W, so multiply
  $90 MW \times 1,000,000$ $= 90,000,000 W$
2. Convert the watts to btu per hour. 1 BTU/h = 0.2930710702 W, so divide
  $\frac{90,000,000 W}{0.2930710702}$ $= 307,092,746.98151475 BTU/h$
6. In kilowatts: 0.04 kW
1. First convert to watts, the shared unit every conversion goes through. 1 BTU/h = 0.2930710702 W, so multiply
  $120 BTU/h \times 0.2930710702$ $= 35.1685284207 W$
2. Convert the watts to kilowatts. 1 kW = 1,000 W, so divide
  $\frac{35.1685284207 W}{1,000}$ $= 0.0351685284 kW$
7. In btu per hour: 272,971.33 BTU/h
1. First convert to watts, the shared unit every conversion goes through. 1 kW = 1,000 W, so multiply
  $80 kW \times 1,000$ $= 80,000 W$
2. Convert the watts to btu per hour. 1 BTU/h = 0.2930710702 W, so divide
  $\frac{80,000 W}{0.2930710702}$ $= 272,971.3306502354 BTU/h$
8. In metric horsepower: 111.49 PS
1. First convert to watts, the shared unit every conversion goes through. 1 kW = 1,000 W, so multiply
  $82 kW \times 1,000$ $= 82,000 W$
2. Convert the watts to metric horsepower. 1 PS = 735.49875 W, so divide
  $\frac{82,000 W}{735.49875}$ $= 111.4889726189 PS$
9. In btu per hour: 409,456,995.98 BTU/h
1. First convert to watts, the shared unit every conversion goes through. 1 MW = 1,000,000 W, so multiply
  $120 MW \times 1,000,000$ $= 120,000,000 W$
2. Convert the watts to btu per hour. 1 BTU/h = 0.2930710702 W, so divide
  $\frac{120,000,000 W}{0.2930710702}$ $= 409,456,995.975353 BTU/h$
10. In metric horsepower: 141.94 PS
1. First convert to watts, the shared unit every conversion goes through. 1 hp = 745.6998715823 W, so multiply
  $140 hp \times 745.6998715823$ $= 104,397.9820215178 W$
2. Convert the watts to metric horsepower. 1 PS = 735.49875 W, so divide
  $\frac{104,397.9820215178 W}{735.49875}$ $= 141.9417531594 PS$