Use dimensional analysis and chain link conversion to perform the indicated conversions. A. 0.8mile/hour to m/s B. 0.0065km2 to m2 C. 5500cm3 to m3 D. 435000m2 to km2

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
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 QUESTION ONE
Use dimensional analysis and chain link conversion to perform the indicated
conversions.
A. 0.8mile/hour to m/s
B. 0.0065km2 to m2
C. 5500cm3 to m3
D. 435000m2 to km

 QUESTION TWO
A person in a kayak starts paddling, and it accelerates from 0 to 0.8 mile/hour in a
distance of 0.8km. If the combined mass of the person and the kayak is 80kg, what
is the magnitude of the net force acting on the kayak? 

QUESTION THREE
Discuss three (3) applications and limitations of dimensional analysis?
QUESTION FOUR
State the principle of homogeneity of dimensions?

QUESTION FIVE
A. A value of the acceleration of free fail g was determined by measuring the period
of oscillation T of a simple pendulum of length l. The relation between g, T and
l is given by:
  ? = 4?(? /?2
In the experiment, l was measured as 0.55±0.02 m and T was measured as
1.50±0.02 s. Find the:
i. Value of g
ii. Uncertainty in the value of g 
B. (a) State newton’s second law of motion and write an equation.
(b)Define the term INERTIA.

 (c) Define impulse and write the equation. 

QUESTION SEVEN
A 1350 kg car on a straight road accelerates from 2.18 m/s to 7.75 m/s in a time of
5.77 s. Find the
I. Average acceleration of the car
II. Average velocity of the car
III. Displacement covered by the car
IV. The force required to produce the acceleration in (I) above.

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