What’s the g-force in a rally car?

Photograph by RX-Guru at German Wikipedia - Transferred from de.wikipedia to Commons., CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=2080303

Photograph by RX-Guru at German Wikipedia – Transferred from de.wikipedia to Commons., CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=2080303

An FIA rally-cross car can accelerate from 0-60 mph in 2 seconds.

Lets check equations of motion, first some definitions.
u – initial velocity
v – final velocity
a – acceleration
t – time
s – displacement

v = u + at
s = ut + ½at2
v2= u2+ 2as

BBC Bitesize resource on equations of motion.
—-

v is 60 mph is 26.8224 m/s
and average acceleration = 26.8224 / 2 = 13.4112 m/s^2
= 13.4112 / 9.80665 g
= 1.368 g
~ 1.4 g

Back calculating….

v = u + at
v = 0 + 13.4112 * 2

OK, in agreement with what we expected.

Distance travelled
s = ut + 1/2 * a t2
= 0 + 0.5 * 13.4112 * 4
= 2 * 13.4112
= 26.8224 m
~ 26.8 m

Rally car

By Foto: Stefan Brending, Lizenz: Creative Commons by-sa-3.0 de, CC BY-SA 3.0 de, https://commons.wikimedia.org/w/index.php?curid=35347288

Advertisements

Frequently bought Bayesian Statistics books…

Frequently Bought Bayesian Books

Frequently Bought Bayesian Books

This leaves the question, which books were bought using Bayes’ theorem rather than using the frequentist approach?