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A 4500 kg car traveling at a given speed, can just barely make it around a bend of radius equal to 20 meters without skidding sideways. Under identical road conditions, if this car travels at 12 m/s, what is the centripetal
ecceleration of the car?​

Sagot :

Word Problem:

  • A 4500 kg car traveling at a given speed, can just barely make it around a bend of radius equal to 20 meters without skidding sideways. Under identical road conditions, if this car travels at 12 m/s, what is the centripetal acceleration of the car?

Find:

  • Central Acceleration [tex](a_{c})[/tex]

Given:

  • Velocity = 12m/s
  • Mass = 4500 kg
  • Radius = 20 meters

Formula:

  • [tex] \sf{a = \large{\frac{ {v}^{ \tt2} }{r}}}[/tex]

Solution:

  • [tex] \sf{a = \large{\frac{ {v}^{ \tt2} }{r}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = \large{\frac{ { \tt{(12} \sf{m/s)}}^{ \tt{2}} }{ \tt{20} \: \sf{meters}}} \\ \large \boxed{ = \tt{7.2} \sf{m/ {s}^{ \tt2} }} \: \: \: [/tex]

Answer:

  • Therefore, 7.2m/s² car accelerates towards the center as is bends and makes a curve.

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