When Maggie applies the brakes of her spinning car, the car slows uniformly from 15.0 rad/s to 0.0 rad/s in 2.50 s. How many radians will the car have traveled before coming to rest?

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Answer 1 · 2018-04-05T00:57:18

#"18.75 rad"#

Angular acceleration of car is

#α = (ω_f - ω_i) / t = "0.0 rad/s - 15.0 rad/s"/"2.50 s" = -"6 rad/s"^2#

Now, angular displacement is given as

#θ = (ω_f^2 - ω_i^2) / (2alpha)#

#θ = (("0.0 rad/s")^2 - ("15.0 rad/s")^2)/(2 × (-"6 rad/s"^2)) = color(green)"18.75 rad"#