To set a speed record in a measured (straight-line) distance d, a race car must be driven first in one direction (in time t1) and then in the opposite direction (in time t2). (a) To eliminate the effects of the wind and obtain the car’s speed vc in a windless situation, should we find the average of d/t1 and d/t2 (method 1) or should we divide d by the average of t1 and t2? (b) What is the fractional difference in the two methods when a steady wind blows along the car’s route and the ratio of the wind speed vw to the car’s speed vc is 0.0240?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
To set a speed record in a measured (straight-line)
distance d, a race car must be driven first in one direction (in time t1)
and then in the opposite direction (in time t2). (a) To eliminate the effects
of the wind and obtain the car’s speed vc in a windless situation,
should we find the average of d/t1 and d/t2 (method 1) or should we divide
d by the average of t1 and t2? (b) What is the fractional difference
in the two methods when a steady wind blows along the car’s route
and the ratio of the wind speed vw to the car’s speed vc is 0.0240?
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