JaylannieK351790 JaylannieK351790
  • 25-10-2022
  • Physics
contestada

A car travels at a constant speed of 27.6 m/s around a circular track that has a radius of 195 m. What acceleration does it experience?

Respuesta :

HariV294237 HariV294237
  • 25-10-2022

The centripetal acceleration of an object under circular motion at constant speed v in a trajectory with radius r is:

[tex]a_c=\frac{v^2}{r}[/tex]

Replace v=27.6m/s and r=195m to find the centripetal acceleration of the car:

[tex]a_c=\frac{(27.6\frac{m}{s})^2}{195m}=3.90646...\frac{m}{s^2}\approx3.91\frac{m}{s^2}[/tex]

Therefore, the car experiences an acceleration of 3.91 m/s^2.

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