An object follows a curved path. The following quantities may remain constant during the motion
D. magnitude of acceleration
When we talk about a curved path, the direction of movement at an instant is determined along the tangent of the curve at that instant. While moving on such a path, the direction of movement changes at every point on the curve. Hence, the quantities that change with motion (direction of motion) are velocity and acceleration and those that remain constant during motion are speed and magnitude of acceleration. We can also say that speed and magnitude of acceleration are scalars whereas the velocity and acceleration are vectors.
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For a particle performing uniform circular motion, choose the correct statement(s) from the following:Physics - Exemplar
(a) Earth can be thought of as a sphere of radius 6400 km. Any object (or a person) is performing circular motion around the axis of earth due to earth’s rotation (period 1 day). What is acceleration of object on the surface of the earth (at equator) towards its centre? what is it at latitude θ? How does these accelerations compare with g = 9.8 m/s2?
(b) Earth also moves in circular orbit around sun once every year with on orbital radius of 1.5 X 1011 m. What is the acceleration of earth (or any object on the surface of the earth) towards the centre of the sun? How does this acceleration compare with g = 9.8 m/s2?
(Hint : acceleration = )
Physics - Exemplar
A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m/s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn?NCERT - Physics Part-I
A cyclist starts from centre O of a circular park of radius 1km and moves along the path OPRQO as shown Fig. 4.3. If he maintains constant speed of 10ms-1, what is his acceleration at point R in magnitude and direction?
Physics - Exemplar
Read each statement below carefully and state, with reasons, if it is true or false:
A. The net acceleration of a particle in circular motion is always along the radius of the circle towards the centre
B. The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point
C. The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vectorNCERT - Physics Part-I
A stone tied to the end of a string 80 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25s, what is the magnitude and direction of acceleration of the stone?NCERT - Physics Part-I
An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Compare its centripetal acceleration with the acceleration due to gravity.NCERT - Physics Part-I