0
The equation for centripetal acceleration is a = v2/r, where a is acceleration, v is velocity in m/s, and r is the radius of the circle in meters. So the dimension of the acceleration a = (m/s)2/m = m2/s2/m, which gives m/s/s or m/s2. The direction of the acceleration is toward the center of the circle.
What else can I help you with?
Is velocity the same as acceleration?
No, velocity and acceleration are not the same. Velocity is the rate of change of an object's position with respect to time, while acceleration is the rate of change of an object's velocity with respect to time. In other words, acceleration measures how quickly an object's velocity is changing.
How can acceleration be increased?
Acceleration is already an increase in the rate of speed. If energy is further supplied at an increasing rate, then the acceleration may be increased. This is known as Jerk. The dimensions are m/s^3.
Is mass times acceleration equals velocity squared dimensionally correct?
No. Fortunately, that equation doesn't appear anywhere in Physics. [mass] times [acceleration] has the dimensions [mass] x [length/time2], and that's exactly [force] which makes everything beautiful.
Why does the unit of time enter twice in the unit accereration?
It should be noted that an acceleration is not a velocity. Velocity is defined as distance per unit rate; thus, it has dimensions of length/time. Acceleration is defined as change of velocity per unit rate; thus, its dimensions are velocity / time, i.e., (length/time) / time.
Is length affected by gravity?
No, only weight is affected by gravity: attraction, force, acceleration.
What is the acceleration of of 7000?
7000 is a pure number, without dimensions. It cannot be compared or converted to any form of acceleration which has dimensions [LT-2].
How are acceleration and speed alike?
They are not alike but they are related. A positive acceleration means an increase in velocity (speed). A negative acceleration means a decrease in velocity. Velocity (speed) has the dimensions of distance / time. Acceleration has the dimensions of distance/time2 or velocity/time.
How do you convert acceleration into time?
we cant convert acceleration in to time since both have different dimensions.
What are the dimensions of the force f knowing that f is equal to the mass m times the acceleration a?
[ force ] = [ mass ] [ acceleration ] = [ mass ] [ length/time2 ] = [ mass-length-time-2 ]
Is 3 meters per second squared a accurate statement of an acceleration value?
Yes. It's a fine acceleration value, with proper units and dimensions. It's roughly 31% of the acceleration of gravity on earth.
Drive at speed valong a circle of radius R. Determine using dimensional analysisthe scaling form of acceleration a.?
To determine the scaling form of acceleration ( a ) for a car driving at speed ( v ) along a circle of radius ( R ), we can use dimensional analysis. The centripetal acceleration ( a ) is given by the formula ( a = \frac{v^2}{R} ). Here, ( v ) has dimensions of velocity (length/time), and ( R ) has dimensions of length; hence, the dimensions of ( a ) become ( \frac{(length/time)^2}{length} = \frac{length}{time^2} ), which corresponds to acceleration. Thus, the scaling form of the acceleration is ( a \sim \frac{v^2}{R} ).
Is velocity the same as acceleration?
No, velocity and acceleration are not the same. Velocity is the rate of change of an object's position with respect to time, while acceleration is the rate of change of an object's velocity with respect to time. In other words, acceleration measures how quickly an object's velocity is changing.
How can acceleration be increased?
Acceleration is already an increase in the rate of speed. If energy is further supplied at an increasing rate, then the acceleration may be increased. This is known as Jerk. The dimensions are m/s^3.
Is mass times acceleration equals velocity squared dimensionally correct?
No. Fortunately, that equation doesn't appear anywhere in Physics. [mass] times [acceleration] has the dimensions [mass] x [length/time2], and that's exactly [force] which makes everything beautiful.
Why does the unit of time enter twice in the unit accereration?
It should be noted that an acceleration is not a velocity. Velocity is defined as distance per unit rate; thus, it has dimensions of length/time. Acceleration is defined as change of velocity per unit rate; thus, its dimensions are velocity / time, i.e., (length/time) / time.
What is dimensional consistency?
dimensional consistency says that in any equation the dimensions of the quantities in the rhs and lhs are same. for example force =mass*acceleration force dimensions are MLT-2 : mass dimension M ;acceleration dimension LT-2 togehter the right hand side is also having MLT-2 dimension same as that of force.
Using the method of dimensions find the acceleration of a particle moving with a constant speed v in a circle of radius r?
v
