what is the relationship between tangential speed and distance from the center?
241833
Tangential speed is directly proportional to the distance from the axis (for a given rotational speed). Move twice as far from the axis and your tangential speed doubles.
598831
ac=v2r a c = v 2 r , which is the acceleration of an object in a circle of radius r at a speed v. So, centripetal acceleration is greater at high speeds and in sharp curves (smaller radius), as you have noticed when driving a car.
57792
- Speed (s) is defined as the rate at which distance is covered during the motion and it is measured in distance per unit time. ... - When the speed is constant, time is directly proportional to distance. - When time is constant, then speed is directly proportional to distance.
714485
"You are correct - the centripetal acceleration (Ac) decreases as the distance from the axis of rotation (or radius) increases (if angular velocity remains constant). ... If the curve is very sharp (small radius), the object changes direction very quickly and (for a given velocity) Ac is higher.
609985
In a distance-time graph, the slope or gradient of the line is equal to the speed of the object. The steeper the line (and the greater the gradient) the faster the object is moving. Calculate the speed of the object represented by the green line in the graph, from 0 to 3 s.
931955
The value of the tangential acceleration may be: Greater than zero (> 0): When the body has accelerated motion, that is, the magnitude of the velocity vector increases with time. ... Equal to zero (= 0): When the body has uniform motion, that is, the magnitude of the velocity vector remains constant.
883647
Objects moving in circles have a speed which is equal to the distance traveled per time of travel. The distance around a circle is equivalent to a circumference and calculated as 2•pi•R where R is the radius. The time for one revolution around the circle is referred to as the period and denoted by the symbol T.
841654
Angular acceleration is the change in angular velocity divided by time, while tangential acceleration is the change in linear velocity divided by time. People sometimes forget that angular acceleration does not change with radius, but tangential acceleration does.
273741
Answer: The Velocity-time graph for Uniform acceleration will be along a straight line from the point of origin......
1451745
Explanation: The slope of the tangent line represents the rate of change of a function. ... We can define an object's instantaneous velocity at a single instant of time, t , where the instantaneous velocity at time t is the slope of the line that is tangent to the position-versus-time graph at time t .
639660
It increases, because tangential velocity is directly proportional to the radius. It increases, because tangential velocity is inversely proportional to the radius. It decreases because tangential velocity is directly proportional to the radius.
731193
They show that (1) keeping radius constant implies that centripetal acceleration is proportional to the square of the velocity, (2) keeping velocity constant while varying the radius implies that centripetal acceleration is inversely proportional to the radius.
488792
A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.
701618
['Length of tangent formula is same for all types of curves. ... ', 'In a compound curve, both curves are of equal radius. ... ', 'Compound curve can be designated by____________ ... ', 'The angle at point of intersection of tangents indicate____________']
623934
A major difference between tangential acceleration and centripetal acceleration is their direction. Centripetal means “center seeking”. Centripetal acceleration is always directed inward. ... Tangential acceleration results from the change in magnitude of the tangential velocity of an object.
345752
If an object travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality. The circumference of a circle is directly proportional to its diameter, with the constant of proportionality equal to π.
157940
Linear velocity v is equal to the angular speed ω times the radius from the center of motion R. We can derive this relationship from the arclength equation. S=θR, where θ is measured in radians.