Automotive Technology - Number And Quantity Dynamometer Page 4

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Automotive Technology (47.0604) T-Chart
Problems
Occupational (Contextual) Math Concepts
Solutions
1. Calculate the horsepower of a car with 375 lb. ft. of torque
T × w
375× 6400
2400000
running at 6400 rpms. (Round to the nearest whole
P =
P =
P =
number.)
5252
5252
5252
P = 456.97 HP
2. A mechanic uses a dynamometer to simulate an auto mobile
HP loss = Elevation in feet ÷ 1000 × 0.03× Sea Level HP
being driven up a hill at 1900 feet in altitude. The engine is
HP loss = 1900 ÷ 1000 × 0.03× 255
rated at 255 hp at 5200 rpm. What is the loss in horsepower
HP loss = 1.9 × 0.03× 255
due to elevation? What would be the Final HP?
HP loss = 0.057 × 255
HP loss = 14.54 hp
Final HP = Sea Level HP - HP Loss
Final HP = 255 -14.54 = 240.46 hp
3. Let’s assume that a car boasts 250 horsepower. When the
T × w
T × 6400
250
T × 6400
engine is running at a speed of 4000 rpms, what should the
P =
250 =
=
5252
5252
1
5252
torque be?
6400T = 1313000
6400T
1313000
=
6400
6400
T = 205.16 ft. - lbs.
Problems
Related, Generic Math Concepts
Solutions
4.
Simplify
2
– 10/5 = 3(12)
2
– 10/5 = 3(144) – 10/5 = 432 – 2=
3(5 +7)
2
– 10/5
3(5 + 7)
430
5.
Simplify
5(8 +2) + (-5 +(2 + 3)(7 - 4)) =
5(8 + 2) + (-5 + (2 + 3)(7 – 4))
5(8 +2) + (-5 +(5)(3)) =
5(10) + (-5 + 15) =
5(10) + (10) = 50 + 10 = 60
6.
Simplify
2
2
=
(5 + 8)
- (7 + 5)
2
2
(5 + 8)
- (7 + 5)
2
2
-
13
12
=
169 – 144 =
25
Problems
PA Core Math Look
Solutions
7.
Simplify
Following the order of operations,
(5 + 7 + 3) ÷ (3 + 2)
(5 + 7 + 3) ÷ (3 + 2) =
Parenthesis
15 ÷ 5 =
Division
3
8.
Simplify
Following the order of operations,
5 + 7 + 3 ÷ 3 + 2
5 + 7 + (3 ÷ 3) + 2 =
Division
5 + 7 + 1 + 2 =
Addition
15
9.
Compare problem #7 with problem #8. Explain how
In problem #7 you are asked to add 5 + 7 + 3 first, then add 3 +
someone may make the mistake of thinking they are the
2, and finally divide the two answers (5 + 7 + 3)/(3 + 2). In
same problem.
problem #8, the first thing to do is divide 3 by 3 and then add 5
+ 7 + 1 + 2.
Originated June 2009
CC.2.1.HS.F.1
Reviewed June 2015
4

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