#physics problems

On previous reads I've always been so focused on The Aiel Revelation and the drilling of the Bore that I never really noticed how in the middle visions Rand is getting to first-hand live out the chaos of the Breaking that he, personally is responsible for. A lot of the climate descriptions hint at some kind of nuclear winter.

On my last reread I got really caught up in the mechanics of Lews Therin channeling hard enough to make Dragonmount - trying (and failing lol - physics nerds? 👀) to calculate how much energy he channeled down to literally pierce the Earth's crust and cause the formation of an active volcano that is "several miles high" and thought to be the highest mountain in the world, littered with the bones of those who tried to climb it...I feel like RJ is giving intentional Everest vibes here.

A car decelerates at 6.6 m/s². The tires have a radius of 0.26 m and have a positive direction during the forward motion. If the initial angular velocity is 94 rad/s, how long does it take the car to fully stop?

-- Given values: -> a = 6.6 m/s² -> r = 0.26 m -> ωi = 94 rad/s -> ωf = 0 rad/s

-- Use one of the kinematic equations 1. ωf = ωi + αt 2. Δθ = ωit + (1/2)αt² 3. ωf² = ωi² + 2αΔθ

-- Use Equation 1

-- Missing α, which is angular acceleration

-- Solve for α

α = a/r α = 6.6 / 0.26 α = 25.385 rad/s²

-- Should be negative, because the car is decelerating

α = -25.385 rad/s²

-- Now solve for t using Equation 1

ωf = ωi + α 0 = 94 + (-25.385)t 0 = 94 - 25.385t -94 = -25.385t 94 = 25.385t 94 / 25.385 = t 3.7 = t

-- It takes the car 3.7 seconds to stop

.

Great book