Home
Class 11
PHYSICS
For ordinary terrestrial experiments, th...

For ordinary terrestrial experiments, the observer is in an inertial frame in which of the following cases

A

a child revolving in a giant wheel

B

a driver in a sports car moving with a constant high speed of `200 kmh^(-1)` on a straight road

C

the pilot of an aeroplane which is taking off

D

a cyclist negotiating a sharp curve

Text Solution

AI Generated Solution

The correct Answer is:
To determine in which of the given cases the observer is in an inertial frame for ordinary terrestrial experiments, we first need to understand what an inertial frame is. An inertial frame of reference is one in which an object either remains at rest or moves at a constant velocity unless acted upon by an external force. Now, let's analyze each of the four options provided in the question: 1. **A child revolving in a giant wheel**: - In this case, the child is moving in a circular path, which means the direction of velocity is constantly changing. This change in direction implies that there is a centripetal acceleration acting on the child, indicating the presence of an external force. Therefore, this is **not an inertial frame**. 2. **A driver in a sports car moving with constant high speed on a straight road**: - Here, the driver is moving in a straight line at a constant speed. There are no external forces acting on the driver in the horizontal direction (ignoring air resistance for simplicity). Since the velocity is constant, this is an **inertial frame**. 3. **A pilot of an aeroplane which is taking off**: - During takeoff, the airplane is accelerating upwards against the force of gravity. This acceleration indicates that there is an external force acting on the pilot (the lift generated by the wings). Therefore, this is **not an inertial frame**. 4. **A cyclist negotiating a sharp curve**: - When a cyclist is turning sharply, they are experiencing a centripetal force that allows them to change direction. This means there is an external force acting on the cyclist. Thus, this is also **not an inertial frame**. After analyzing all four options, we conclude that the only case where the observer is in an inertial frame is: **Answer: A driver in a sports car moving with constant high speed on a straight road.**
Promotional Banner

Similar Questions

Explore conceptually related problems

In which of the following cases , the observer is in intertial frame?

Two particles are projected simultaneously from the same point, with the same speed, in the same vertical plane, and at different angles with the horizontal in a uniform gravitational field acting vertically downwards. A frame of reference is fixed to one particle. The position vector of the other particle , as observed from this frame, is vecr . Which of the following statement is correct?

Two frame S_(1) and S_(2) are non-inertial. Then frame S_(2) when observed from S_(1) is inertial. A frame in motion is not necessarily a non-inertial frame

Two frame S_(1) and S_(2) are non-inertial. Then frame S_(2) when observed from S_(1) is inertial. A frame in motion is not necessarily a non-inertial frame

Frames moving uniformly with respect to an inertial frame are

Newton's laws of motion are applicable in all inertial reference frames. Some physical quantities, when measured by observers in different reference frames, have exactly the same value. Such physical quantities are called invariant. In Newtonian mechanics mass, time and force are invariant quantities . On the other hand, some physical quantities, when measured by observer in different reference frames, do not have the same value. Sigmae physical quantities are called not invariant . In Newtonian mechanics displacement, velocity and work ( which is the dot product of force and displacement) are not invariant. Also kinetic energy (=1/2mv^(2)) is not invariant. Physicists believe that all laws of physics are invariant in all inertial frames, i.e. the work-energy principle states that the change in the kinetic energy of a particle is equal to the work done on it by the force. Although, work and kinetic energy are not invariant in all reference frames, the work-energy principle remains invariant. Thus even though different observers measuring the motion of the same particle find different values of work and change in kinetic energy, they all find the work energy principle holds in their respective frames. Which of the following quantities is invariant?

In a young's double slit experiment, green light is incident on the two slits. The interference pattern is observed on a screen. Which of the following changes would cause the observed fringes to be more closely spaced?

In a Young's double slit experiment green light is incident on the two slits. The interference pattern is observed on a screen. Which of the following changes would cause the observed fringes to be more closely spaced ?

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The net reaction of the disc on the block is