CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Students have asked these similar questions
Transient Orifice Flow:
Water is discharged from a reservoir through a long pipe as shown. By
neglecting the change in the level of the reservoir, the transient velocity of
the water flowing from the pipe, vt), can be expressed as:
- Reservoir
v(t)
V2gh
= tanh V2gh)
Pipe
Where h is the height of the fluid in the
7-
reservoir, L is the length of the pipe, g is the
acceleration due to gravity, and t is the time
elapsed from the beginning of the flow
Transient Orifice Flow:
Determine the helght of the fluid in the reservoir at time, t= 2.5 seconds,
given that the velocity at the outfall, vt) = 3 m/s, the acceleration due to
gravity, g = 9.81 m/s? and the length of the pipe to outfall, L= 1.5 meters.
Reservoir
v(t)
V2gh
= tanh
2L
2gh
water
Pipe
Hint: Transform the equation to a
function of form: fih) = 0
Solve MANUALLY using BISECTION AND REGULA-FALSI METHODS,
starting at xn = 0.1, Kg =1, E = 0.001 and If(*new)l < E
1. Let the velocity function of a moving object is V(t) = 7t3 + 5t2 - 4t. What is the function for the acceleration of the object at time t.
1. A particle moves along the x-axis so that its velocity at any given time is
= 2t - 3 and x (0) = 3.
v(t) =
a.) Find the equation for position of the particle as a function of t, x(t).
b.) Find the position of the particle at t = 3.
c.) At what values of t does the particle change direction?
d.) Where is the particle when the position is a minimum?
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