Mathematical and Physical Journal
for High Schools
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Problem G. 613. (November 2017)

G. 613. A vehicle undergoes circular motion at a constant speed of 72 km/h. How much time elapses until it gets back to the same point if its acceleration is 1.6 m/s\(\displaystyle {}^2\)?

(3 pont)

Deadline expired on December 11, 2017.


Sorry, the solution is available only in Hungarian. Google translation

Megoldás. A centripetális gyorsulásból és a sebességből kiszámítható, hogy a körpálya sugara

\(\displaystyle R=\frac{v^2}{a}=\frac{20^2}{1{,}6}\,{\rm m}=250\,{\rm m}.\)

Egy-egy kör megtételéhez szükséges idő:

\(\displaystyle T=\frac{2\pi R}{v}=78{,}5~{\rm s}=1{,}3~\text{perc}.\)


Statistics:

102 students sent a solution.
3 points:90 students.
2 points:6 students.
1 point:1 student.
0 point:5 students.

Problems in Physics of KöMaL, November 2017