PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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On its takeoff roll, the airplane starts from rest and accelerates according to a = ao - kv² where ao is the constant acceleration resulting
from the engine thrust and -kv² is the acceleration due to aerodynamic drag. If ao = 1.8 m/s², k = 0.000064 m ¹, and vis in meters per
second, determine the design length of runway required for the airplane to reach the takeoff speed of 206 km/h if the drag term is (a)
excluded and (b) included.
Vo = 0
Answers:
(a) Excluding drag, s= i
(a) Including drag. S= i
v= 206 km/h
m
m
On its takeoff roll, the airplane starts from rest and accelerates according to a = ao - kv² where ao is the constant acceleration resulting
from the engine thrust and -kv² is the acceleration due to aerodynamic drag. If að = 1.6 m/s², k = 0.000039 m ¹, and vis in meters per
second, determine the design length of runway required for the airplane to reach the takeoff speed of 271 km/h if the drag term is (a)
excluded and (b) included.
V0 = 0
Answers:
(a) Excluding drag, s= i
(a) Including drag, S= i
v=271 km/h
m
3
Given a 1400 kg car traveling along a route with an increasing vertical profile y=0.0003x^2. Determine the x-component of the car's velocity (m/s) and the total force (kN) if the constant velocity is 30 m/s and the distance is 210m.
Hint: A line's slope is equal to tan theta, where theta is an angle measured from the x-axis.
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- The sports car has a mass of 4000 Kg, and while it is traveling at 35 m/s the driver causes it to accelerate at 7 m/s². If the drag resistance on the car due to the wind is F, = (1.3v) N, where v is the velocity in m/s, determine the power supplied to the engine at this instant. The engine has a running efficiency of e= 0.60. F,arrow_forwardA braking system for an aircraft consists of 2 parachutes, each having a diameter of 3.75 m, deployed from the rear. If the aircraft has a mass of 14,500 kg and lands at 320 km/hr, determine the time and distance required to decelerate the aircraft to 100 km/hr. Assume brakes are not used and the drag of the aircraft is negligible.arrow_forwardWhat’s the answer for this please?arrow_forward
- A small projectile is fired vertically downward into a fluid medium with an initial velocity of 65 m/s. Due to drag resistance of the fluid, the projectile experiences a deceleration of a = (- 0.41v3) m/s2, where v is in m/s. Determine the projectile’s velocity and position 4 s after it is fired.arrow_forwardWhen the trailer coupling at A fails, the vehicle is traveling at 30 kph. Determine the continuous horizontal force caused by rolling friction and wind resistance that causes the trailer to halt if it has a mass of 300 kgs. and coasts 45 meters before coming to a stop. Draw the corresponding FBDarrow_forwardThe roller coaster car has a speed of VA = 36 ft/s when it is at the crest of a vertical parabolic track. The total weight of the car and the passengers is 350 lb. Neglect friction and the mass of the wheels. (Figure 1) Figure 200 ft AKKarrow_forward
- The sports car has a mass of 2.0 Mg and accelerates at 6 m/s², starting from rest. (Figure 1) Part A If the drag resistance on the car due to the wind is Fn = (10v) N, where v is the velocity in m/s, determine the power supplied to the engine when t = 5 s. The engine has a running efficiency of e = 0.68. Express your answer to three significant figures and include the appropriate units. μΑ P = Value Units Submit Request Answer Provide Feedback Figure 1 of 1 >arrow_forwardA two-engine jet transport has a loaded weight of 94000 Ib and a forward thrust of 8770 Ib per engine during takeoff. If the transport requires 6020 ft of level runway starting from rest to become airborne at a speed of 145 knots (1 knot = 1.151 mi/hr), determine the average resistance R to motion over the runway length due to drag (air resistance) and mechanical retardation by the landing gear. Answer R = i Ibarrow_forwardA 1.28 Mg MINI accelerates at 6 m/s² starting from rest. If the drag resistance on the MINI due to the wind is FD = 10v N, where v is the speed in m/s, determine the power supplied to the motor when t = 5 s. The motor has a running efficiency of € = 0.68.arrow_forward
- A two-engine jet transport has a loaded weight of 72000 Ib and a forward thrust of 8980 lb per engine during takeoff. If the transport requires 3990 ft of level runway starting from rest to become airborne at a speed of 138 knots (1 knot = 1.151 mi/hr), determine the average resistance R to motion over the runway length due to drag (air resistance) and mechanical retardation by the landing gear. Answer R = i Ibarrow_forwardThe radius of a highway curve is 120m, and has an angle of 9.31 from the horizontal. The center of gravity of the car is located 0.80m above the roadway and the distance between the two front wheels is 1.2m. if the car has a total weight of 15KN, a. Determine the normal acceleration (m/s2) and the velocity (in kph) of the car before overturning? Assume that friction is great enough to prevent sliding. b. Find the maximum velocity of the car could move in the curve so that there will be no pressure between the tires and the roadway, kph. c. What is the velocity of the car to prevent sliding up if the coefficient of kinetic friction is 0.60?arrow_forwardIs this correct please ?arrow_forward
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