Pushoam said:
But should you also consider the tangential acceleration and take the vector sum of that and the centripetal acceleration, when calculating the horizontal force on the car?ehild said:
Yes, thanks for it.ehild said:
scottdave said:
Hiero said:
We are going to write the eqn. of motion when the body is moving, so,the question should provide kinetic friction. Isn't it so?haruspex said:
The friction is causing the car to have centripetal acceleration. This I understood.scottdave said:
The friction (static here) is providing the net acceleration, so both the centripetal and the tangential.Pushoam said:
How do we get to know this ?haruspex said:
Friction is the only horizontal force acting. ##\Sigma\vec F=m\vec a##, where ##\vec a## is the acceleration of the mass, not just some component of it.Pushoam said:
Car's engine couldn't provide centripetal acceleration, but, it could provide tangential acceleration. I am asking this because earlier I assumed that car's engine provides tangential acc. and friction provides centripetal acc.haruspex said:
The car's engine is not in contact with the road. The car only has acceleration in consequence of external forces acting on it, and those all come via the tyre/road contact, gravity and air resistance. Without friction between tyre and road, the engine won't get you anywhere.Pushoam said:
If all of the accelerations come from the tyre/road contact, gravity and air resistance, then why do we need an engine?haruspex said:
Think about what the engine does. It exerts a torque on the axle. Without friction on the road, that would cause the wheel to spin. The friction opposes the tyre sliding on the road, and that pushes the car along.Pushoam said:
The maximum speed at which a car can accelerate in a circle without skidding depends on several factors, including the car's weight, tire traction, and the radius of the circle. However, in general, the maximum speed is determined by the equation v = √(μrg), where μ is the coefficient of friction, r is the radius of the circle, and g is the acceleration due to gravity.
The weight of the car has a significant impact on its maximum acceleration in a circular motion. A heavier car will have a higher maximum speed at which it can accelerate without skidding compared to a lighter car. This is because a heavier car has more force pressing down on the tires, increasing the friction between the tires and the road. This increased friction allows the car to maintain a higher speed without skidding.
Tire traction plays a crucial role in determining the maximum acceleration in a circular motion. It refers to the amount of grip that the tires have on the road. The higher the tire traction, the more force can be applied to the tires without them slipping or skidding. Therefore, a car with tires that have a higher traction will be able to accelerate at a higher speed in a circular motion without skidding.
The radius of the circle also plays a significant role in determining the maximum acceleration of a car without skidding. The larger the radius, the lower the acceleration needed to maintain a certain speed. This means that a car can accelerate at a higher speed without skidding on a larger circle compared to a smaller one. Additionally, a larger radius also allows for a smoother turn, reducing the chances of skidding.
The coefficient of friction is a measure of the amount of friction between two surfaces. In the context of a car accelerating in a circle, it refers to the friction between the tires and the road. A higher coefficient of friction means that there is more grip between the tires and the road, allowing for a higher maximum acceleration without skidding. It is affected by factors such as tire material, road surface, and weather conditions.