1. The angle a rotating shaft turns through in t 1 seconds is given by 0 = wt+at². Deter- mine the time taken to complete 4 radians if w is 3.0 rad/s and a is 0.60 rad/s². 2. The power P developed in an electrical cir-

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Now try the following Practice Exercise
Practice Exercise 57 Practical problems
involving quadratic equations (answers on
page 346)
1. The angle a rotating shaft turns through in t
1
seconds is given by 0 = wt + at². Deter-
mine the time taken to complete 4 radians if
w is 3.0 rad/s and a is 0.60 rad/s².
2. The power P developed in an electrical cir-
cuit is given by P = 101 - 81², where I is
the current in amperes. Determine the current
necessary to produce a power of 2.5 watts in
the circuit.
3. The area of a triangle is 47.6 cm² and its
perpendicular height is 4.3 cm more than its
base length. Determine the length of the base
correct to 3 significant figures.
4. The sag, 1, in metres in a cable stretched
between two supports, distance x m apart, is
12
+x. Determine the distance
between the supports when the sag is 20 m.
given by l
= -
X
5. The acid dissociation constant Ka of ethanoic
acid is 1.8 x 10-5 moldm-3 for a particu-
lar solution. Using the Ostwald dilution law,
Transcribed Image Text:Now try the following Practice Exercise Practice Exercise 57 Practical problems involving quadratic equations (answers on page 346) 1. The angle a rotating shaft turns through in t 1 seconds is given by 0 = wt + at². Deter- mine the time taken to complete 4 radians if w is 3.0 rad/s and a is 0.60 rad/s². 2. The power P developed in an electrical cir- cuit is given by P = 101 - 81², where I is the current in amperes. Determine the current necessary to produce a power of 2.5 watts in the circuit. 3. The area of a triangle is 47.6 cm² and its perpendicular height is 4.3 cm more than its base length. Determine the length of the base correct to 3 significant figures. 4. The sag, 1, in metres in a cable stretched between two supports, distance x m apart, is 12 +x. Determine the distance between the supports when the sag is 20 m. given by l = - X 5. The acid dissociation constant Ka of ethanoic acid is 1.8 x 10-5 moldm-3 for a particu- lar solution. Using the Ostwald dilution law,
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