Example 5-8 Two components of acceleration A race car starts from rest in the pit area and accelerates at a uniform rate to a speed of 35 m/s in 11 s, moving on a circular track of radius 500 m. Assuming constant tangential acceleration, find (a) the tangential acceleration, and (b) the radial acceleration, at the instant when the speed is v = 15 m/s. a. During the 11-s time interval, we assume the tangential acceleration atan is constant. Its magnitude is atan = Δυ At || (35 m/s-0 m/s) 11 s = 3.2 m/s².

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Determine the tangential and centripetal components of the net force exerted on the car (by the ground) in Example 5–8 when its speed is 15 m/s. The car’s mass is 950 kg.

* (I) Determine the tangential and centripetal components of the net force exerted on the
car (by the ground) in Example 5-8 when its speed is 15 m/s. The car's mass is 950 kg.
Transcribed Image Text:* (I) Determine the tangential and centripetal components of the net force exerted on the car (by the ground) in Example 5-8 when its speed is 15 m/s. The car's mass is 950 kg.
Example 5-8 Two components of acceleration
A race car starts from rest in the pit area and accelerates at a uniform rate to a speed of 35 m/s
in 11 s, moving on a circular track of radius 500 m. Assuming constant tangential acceleration,
find (a) the tangential acceleration, and (b) the radial acceleration, at the instant when the speed
is v = 15 m/s.
a. During the 11-s time interval, we assume the tangential acceleration atan is constant. Its
magnitude is
atan =
aR =
(35 m/s-0 m/s)
11 s
b. When v = 15 m/s, the centripetal acceleration is
=
= 3.2 m/s².
(15 m/s)²
(500 m)
= 0.45 m/s².
Transcribed Image Text:Example 5-8 Two components of acceleration A race car starts from rest in the pit area and accelerates at a uniform rate to a speed of 35 m/s in 11 s, moving on a circular track of radius 500 m. Assuming constant tangential acceleration, find (a) the tangential acceleration, and (b) the radial acceleration, at the instant when the speed is v = 15 m/s. a. During the 11-s time interval, we assume the tangential acceleration atan is constant. Its magnitude is atan = aR = (35 m/s-0 m/s) 11 s b. When v = 15 m/s, the centripetal acceleration is = = 3.2 m/s². (15 m/s)² (500 m) = 0.45 m/s².
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