Answer
Verified
109.8k+ views
Hint: In uniform circular motion, the speed of the body is constant and the direction with which the velocity of the body changes with time. Further, the velocity of the body changes with time is known as acceleration. In this way we can explain the uniform circular motion is an accelerated motion.
Complete step by step solution:
The acceleration of a particle is said to be uniform if its velocity increases by equal amount in equal intervals of time, however small these time intervals may be known as uniform accelerated motion.
When a body is in uniform circular motion, the speed of the body remains same or constant but the direction of the velocity of the body changes with respect to time. The change in the direction of the velocity of the body with time is called acceleration. Acceleration of a particle is defined as the time rate of change of its velocity or change in velocity in unit time. So, a uniform circular motion is an accelerated motion.
Note: Acceleration can be either positive or negative. In each case, a positive acceleration doesn’t always mean “speeding up”. Similarly in each case, a negative acceleration doesn’t always mean “slowing down”. It is only the value of time $t$ in the relevant formula which will indicate the change of velocity under constant acceleration. Negative acceleration is also known as deceleration or retardation.
At any time $t$, the direction of the motion is represented by velocity not by acceleration. For example, when an object is thrown vertically up then its velocity is directed upwards at any given time but acceleration is directed downwards.
Complete step by step solution:
The acceleration of a particle is said to be uniform if its velocity increases by equal amount in equal intervals of time, however small these time intervals may be known as uniform accelerated motion.
When a body is in uniform circular motion, the speed of the body remains same or constant but the direction of the velocity of the body changes with respect to time. The change in the direction of the velocity of the body with time is called acceleration. Acceleration of a particle is defined as the time rate of change of its velocity or change in velocity in unit time. So, a uniform circular motion is an accelerated motion.
Note: Acceleration can be either positive or negative. In each case, a positive acceleration doesn’t always mean “speeding up”. Similarly in each case, a negative acceleration doesn’t always mean “slowing down”. It is only the value of time $t$ in the relevant formula which will indicate the change of velocity under constant acceleration. Negative acceleration is also known as deceleration or retardation.
At any time $t$, the direction of the motion is represented by velocity not by acceleration. For example, when an object is thrown vertically up then its velocity is directed upwards at any given time but acceleration is directed downwards.
Recently Updated Pages
If x2 hx 21 0x2 3hx + 35 0h 0 has a common root then class 10 maths JEE_Main
The radius of a sector is 12 cm and the angle is 120circ class 10 maths JEE_Main
For what value of x function fleft x right x4 4x3 + class 10 maths JEE_Main
What is the area under the curve yx+x1 betweenx0 and class 10 maths JEE_Main
The volume of a sphere is dfrac43pi r3 cubic units class 10 maths JEE_Main
Which of the following is a good conductor of electricity class 10 chemistry JEE_Main
Other Pages
If a wire of resistance R is stretched to double of class 12 physics JEE_Main
The adjoining diagram shows the spectral energy density class 11 physics JEE_MAIN
In a steady state of heat conduction the temperature class 11 physics JEE_Main
Electric field due to uniformly charged sphere class 12 physics JEE_Main