- #1
klm_spitfire
Homework Statement
A new car is tested on a 300-m-diameter track. If the car speeds up at a steady 1.3 m/s^2 , how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?
c = 300 m
a_t = 1.3 m/s^2
2. Relevant formulas
a_c = v^2 / r -- Centripetal Acceleration
t = (v_f - v_i) / a -- Time
r = c / 2π -- Radius
The Attempt at a Solution
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r = 300 / 2π = 150 / π
a_t = a_c = 1.3 = v^2 / (150 / π)
v = sqrt((150 / π) * (1.3))
t = (sqrt((150 / π) * (1.3)) - 0) / 1.3 = 6.06 seconds
This isn't correct though... It would appear the answer should be ~11 seconds. Help? Lol.