Explanation Given: When time ( t ) is 0 the initial speed of the boat is 15 ft/s . Radius of curvature ( ρ ) is 100 ft . The rate of increase in the speed ( υ ˙ ) of the boat is ( 0.8 t ) ft/s 2 . Write the expression for the change in magnitude of velocity ( υ ˙ ) of the boat. υ ˙ = ( 0.8 t ) ft/s 2 (1). Write the expression for the instantaneous acceleration. a = d υ d t d υ = a d t (2). Here, acceleration is a and rate of change of velocity with respect to time is ( d υ d t ) . Write the expression for normal acceleration. a n = υ 2 ρ (3). Here, normal acceleration is a n , constant velocity is υ and radius of curvature is ρ . Write the expression for the magnitude of acceleration. a = a t 2 + a n 2 (4). Here, acceleration is a , tangential acceleration is a t and normal acceleration is a n . Conclusion: Substitute ( 0.8 t ) ft/s 2 for υ ˙ in Equation (2). Integrate the Equation (2) at the limits 15 to υ for υ and 0 to 5 for t . ∫ 15 υ d υ = ∫ 0 5 0.8 t d t [ υ ] 15 υ = [ 0.8 t 2 2 ] 0 5 υ − 15 = [ 0

15th Edition

ISBN: 9780134780955

Author: HIBBELER

Publisher: RENT PEARS

See similar textbooks

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

Videos

Question

Chapter 12, Problem 130P

To determine

The magnitude of the boats acceleration (a) when time (t) is 5 s .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12, Problem 129P

Chapter 12, Problem 131P

Students have asked these similar questions

Oxygen (molar mass 32 kg/kmol) expands reversibly in a cylinder behind a piston at a constant pressure of 3 bar. The volume initially is 0.01 m3 and finally is 0.03 m3; the initial temperature is 17°C. Calculate the work input and the heat supplied during the expansion. Assume oxygen to be an ideal gas and take cp = 0.917 kJ/kg K. For 1 bonus mark explain why (using your understanding of thermodynamics) that oxygen is used in this context rather than water vapour.

Hydrodynamic Lubrication Theory Q1: Convert this equations into Python by 1- ah ap a h³ ap 1..ah = ax 12μ ax ay 12μ ay 2 ax Where P=P(x, y) is the oil film pressure. 2- 3μU (L² ε sin P= C²R (1+ cos 0)³ Q2: prove that |h(0) = C(1+ cos 0) ?

### To make a conclusion for a report of an experiment on rockets, in which the openrocket software was used for the construction and modeling of two rockets: one one-stage and one two-stage. First rocket (single-stage) reached a maximum vertical speed of 200 m/s and a maximum height of 1000 m The second rocket (two-stage) reached a maximum vertical speed of 250 m/s and a maximum height of 1800 m To make a simplified conclusion, taking into account the efficiency of the software in the study of rockets

Chapter 12 Solutions

ENGR.MECH.:STAT.+DYNAMICS

Ch. 12 - Initially, the car travels along a straight road...Ch. 12 - A ball is thrown vertically upward with a speed of...Ch. 12 - A particle travels along a straight line with a...Ch. 12 - A particle travels along a straight line with a...Ch. 12 - The position of the particle is given by s = (2t2 ...Ch. 12 - A particle travels along a straight line with an...Ch. 12 - A particle moves along a straight line such that...Ch. 12 - A particle travels along a straight line with a...Ch. 12 - Starting from rest, a particle moving in a...Ch. 12 - If a particle has an initial velocity of v0 = 12...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The magnitude of the boats acceleration ( a ) when time ( t ) is 5 s .

Solution Summary: The author explains the magnitude of the boats acceleration (a) and the rate of increase in the speed.

Concept explainers

Videos

The magnitude of the boats acceleration (a) when time (t) is 5 s .

Want to see the full answer?

Chapter 12 Solutions