Respuesta :
Answer:
5.92 [tex]\frac{\textbf{m}}{\textbf{s}^{\textbf{2}}}[/tex]
Explanation:
The motion of the car can be described as uniform motion in a circle. Hence, speed of the car is assumed constant.
She completes 12 laps in 4 minutes. So each lap takes 20 seconds.
[tex]|Velocity|=\dfrac{\text{Distance}}{\text{Time taken}}=\dfrac{\text{Circumference}}{\text{Lap time}}=\dfrac{2\pi r}{T}[/tex]
Radius of lap = [tex]r=60\text{ }m[/tex].
[tex]v=\dfrac{2\times\pi\times 60 \text{ }m}{20\text{ }sec}=6\pi \frac{m}{sec}[/tex]
Mass of car = [tex]m=800\text{ }kg[/tex]
Centripetal acceleration = [tex]\dfrac{v^{2}}{r}=\dfrac{(6\pi\text{ }\frac{m}{sec})^{2}}{60\text{ }m}=5.92\frac{m}{s^{2}}[/tex]
∴ Centripetal Acceleration = 5.92 [tex]\frac{m}{s^{2}}[/tex]
