कृपया संक्षिप्त में उत्तर दें।
प्रश्न : A bus of mass 6800 kg rounds a curve of radius 670 m at 120 km/hour,,Calculate the centripetal force acting on it.
(A answer is expected soon.)
Answers
Answer:
Given, m=1500kg
r=250m
v=90km/hr=
60×60
90×1000
=25m/s
Centripetal force F=
r
mv
2
=
250
1500×(25)
2
=3750N
Solution : Here, a/c to question,
• Mass of the car, m = 6800 kg
• Radius of the curve, r = 670 m
• Velocity of the car = 120 km/hour
First we have to convert velocity of the car into m/s.
➜ Velocity of the car = 120 km/hour
➜ Velocity of the car = (120 * 1000)/3600 m/s
➜ Velocity of the car = 120000/3600 m/s
➜ Velocity of the car = 1200/36
➜ Velocity of the car = 100/3 m/s
Defination of the centripetal force : centripetal force is the force required to provide centripetal acceleration to a particle to move it in a circular path.
Now,
➜ Centripetal force, F = mv²/r
➜ Centripetal force, F = {6800 * (100/3)²/670
➜ Centripetal force, F = {6800 * (10⁴/9)}/670
➜ Centripetal force, F = {(68 * 10⁶)/9}/670
➜ Centripetal force, F = (68 * 10⁶)/(9 * 670)
➜ Centripetal force, F = (68 * 10⁶)/6030
➜ Centripetal force, F = (68/603) * 10³
➜ Centripetal force, F = 0.1127694 * 10³
➜ Centripetal force, F = 112.7694 N
Answer : The centripetal force acting on the car is 112.7694 N.