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If you know the initial and final velocity of a car (or whatever) - and the time used - the average acceleration can be calculated as
Common benchmark velocities for acceleration of cars and motorcycles are
Online Car Acceleration Calculatorkm/h start speed (km/h) final speed (km/h) time used (s) mass of object (kg)
Note that force, work and power are calculated for mass acceleration only. Forces due to air resistance (drag) and rolling friction are not included. mphstart speed (mph) final speed (mph) time used (s)
Car Acceleration Diagram - km/hDownload and Print Car Acceleration Chart Car Acceleration Diagram - mphDownload and Print Car Acceleration Chart If you know the distance moved and the time used - the acceleration can be calculated as
Acceleration of some known carsAcceleration ForceThe acceleration force can be calculated as F = m a (3) where F = acceleration force (N, lbf) m = mass of car (kg, slugs) Acceleration WorkThe acceleration work can be calculated as W = F l (4) where W = work done (Nm, J, ft lbf) l = distance moved (m, ft) Acceleration PowerThe acceleration power can be calculated as P = W / dt (5) where P = power (J/s, W, ft lbf/s) Example - Car AccelerationA car with mass 1000 kg (2205 lbm) accelerates from 0 m/s (0 ft/s) to 27.8 m/s (100 km/h, 91.1 ft/s, 62.1 mph) in 10 s. The acceleration can be calculated from eq. 1 as a = ((27.8 m/s) - (0 m/s)) / (10 s) = 2.78 m/s2 The acceleration force can be calculated from eq. 3 as F = (1000 kg) (2.78 m/s2) = 2780 N The distance moved can be calculated by rearranging eq. 2 to ds = a dt2 / 2 = (2.78 m/s2) (10 s)2 / 2 = 139 m The acceleration work can be calculated from eq. 4 as W = (2780 N) (139 m) = 386420 J The acceleration power can be calculated from eq. 5 as P = (386420 J) / (10 s) = 38642 W = 38.6 kW The calculation can also be done in Imperial units: The acceleration can be calculated from eq. 1 as a = ((91.1 ft/s) - (0 ft/s)) / (10 s) = 9.11 ft/s2 In the Imperial system mass is measured in slugs where 1 slug = 32.17405 lbm The acceleration force can be calculated from eq. 3 as F = ((2205 lbm) (1/32.17405 (slugs/ lbm)) ) (9.11 ft/s2) = 624 lbf The distance moved can be calculated by rearranging eq. 2 to ds = a dt2 / 2 = (9.11 ft/s2) (10 s)2 / 2 = 455 ft The acceleration work can be calculated from eq. 4 as W = (624 lbf) (455 ft) = 284075 ft lbf The acceleration power can be calculated from eq. 5 as P = (284075 ft lbf) / (10 s) = 28407 ft lbf/s
In physics, acceleration is the rate at which the velocity of a body changes with time. For example, an object such as a car that starts from a full stop, then travels in a straight line at increasing speed, is accelerating in the direction of travel. If the car changes direction at constant speed, there is strictly speaking an acceleration, although not described as such; passengers in the car will experience a force pushing them back into their seats in linear acceleration, and a sideways force on changing direction. If the speed of the car decreases, or decelerates, mathematically it is acceleration in the opposite direction. The formula for acceleration = A = (Vf – V0)/t and is measured in meters per second2. Here is a typical question: A car starts from standing top and in 10 seconds is travelling 20/meters per second. What is the acceleration? a. 0.5 m/sec2 The formula for acceleration = A = (Vf – V0)/t so A = (20 m/sec – 0 m/sec)/10 sec = 2 m/sec2 Speed is the rate of change of an objects position, or, speed = (total distance traveled)/(total time taken). Here is a typical question: A rocket travels 3000 meters in 5 seconds. How fast is it travelling? a. 100 m/sec b. 200 m/sec c. 500 m/sec d. 600 m/sec Answer: D speed = (total distance traveled)/(total time taken) 3000/5 = 600 meters per second. 1. A car starts from a full top and in 20 seconds is travelling 10/m per second. What is the acceleration? 2. A motorcycle travelling 90 mph accelerates to pass a truck. Five seconds later the car is going 120 mph. Calculate the acceleration. a. 6 mph/second b. 10 mph/second c. 15 mph/second d. 20 mph/second 3. A rocket releases a satellite into orbit around Earth. The satellite travels at 2000 m/s in 25 seconds. What is the acceleration? a. 60 m/sec2 4. A soccer ball is kicked and travels at a velocity of 12 m/sec. After 60 seconds, it comes to a stop. What is the acceleration? a. -0.2 m/sec2 Speed is the rate of change of an objects position, or, Here is a typical question: A rocket travels 3000 meters in 5 seconds. How fast is it travelling? a. 100 m/sec b. 200 m/sec c. 500 m/sec d. 600 m/sec speed = (total distance traveled)/(total time taken) 3000/5 = 600 meters per second. 5. The space station travels 1000 meters in 5 seconds. How fast is it travelling? a. 100 meters/second b. 200 meters/second c. 50 meters/second d. 500 meters/second 6. A runner can sprint 6 meters per second. How far will she travel in 2 minutes? a. 600 meters b. 720 meters c. 760 meters d. 800 meters 7. How far can a person walk if they travels 1000 m in 20 minutes? a. 25 meters b. 50 meters c. 100 meters d. None of the above 1. A The formula for acceleration = A = (Vf – V0)/t so A = (10 m/sec – 0 m/sec)/20 sec = 0.5 m/sec2 2. A 3. B The formula for acceleration = A = (Vf – V0)/t so A = (2000 – 0)/25 sec = 80 m/sec2 4. A 5. B Speed = (total distance traveled)/(total time taken) 1000/5 = 200 meters per second 6. B Speed = (total distance traveled)/(total time taken) 6 = x/120 (convert minutes to seconds) 6 * 120 = x X = 720 meters 7. B Speed = (total distance traveled)/(total time taken) X = 1000m/20 minutes X = 50 meters GED — ACT Medical/Nursing TEAS — HESI — PSB HOAE Date Published: Sunday, April 6th, 2014 Date Modified: Monday, April 18th, 2022 |