The attempt at a solution a) E = hf - σ where E is the maximum energy, h is planck's constant and σ is the work function. If it is close to c, then it is something like 0.999999999999999991c and the difference will be 1c-0.999999999999999991c=0.000000000000000009c and thus has the same unit as c has. Speed in the third hour = 75 miles / hour. Thus, Say you determine that the yo-yo’s maximum velocity is 5 inches per second, and its minimum velocity is –7 inches per second. More or … Kinematic formulas and projectile motion. If the firefighter holds the hose at an angle of \(78.5 ^{\circ}\) Find out the maximum height of the water stream using maximum height formula. Light Properties - shows the relationship between the speed of light, its wavelength and its frequency. The Java.lang.math.max() is an inbuilt method in Java which is used to return Maximum or Largest value from the given two arguments. Plotting projectile displacement, acceleration, and velocity. A handy trick if you don’t have a calculator to hand (e.g., you're driving) is to use the Fibonacci sequence (1, 1, 2, 3, 5, 8…). Deriving displacement as a function of time, acceleration, and initial velocity. Finishing Time (seconds) = Race Distance / ( Stride Length * Step frequency ) Example. 1 hp = 2,545 BTU/hr = 42.4 BTU/min = 33,000 ft. lbs./min = 746 watts. The acceleration of gravity near the earth is g = -9.81 m/s^2. H = maximum height ( m) v0 = initial velocity ( m/s) g = acceleration due to gravity ( 9.80 m/s2) θ = angle of the initial velocity from the horizontal plane (radians or degrees) Default AIM Channel Formula Description AIM_Max_Speed max(Speed #1,Speed #2) Calculates the maximum of the two wheel speeds at any point AIM_Linear_Acc_1 deriv(Speed #1 * KMH2MS) / 9.806 Longitudinal acceleration calculation in Metric units (m/s2) by taking the derivative of speed Aim_Linear_Acc_2 deriv(Speed #1 * MI2KM * KMH2MS) / 9.806 Cso= Air speed in normal conditions is 340m/s at sea level. The equations needed to calculate a rider’s theoretical maximum speed are derived from the Pythagorean Theorem, Newton’s Second Law of Motion, and a Kinematic Equation that relates displacement, velocity, and acceleration. Light Properties - shows the relationship between the speed of light, its wavelength and its frequency. Divide the distance by the time. so if the speed limit is 65 miles per hour, your speedometer should read 65 miles per hour. 5. Air Flow formulas CFM = Duct area sq ft x Velocity Standard Air= 70F @ 29.92” HG (Mercury) 1 cubic foot of standard air = 0.075 pounds 13.3 cubic feet of standard air = 1 pound FAN LAWS: Remember RPM is interchangeable for CFM Note: new is the same as 1 and old is the same as 2 Fan Law #1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ⎟= ⎠ ⎞ ⎜ ⎝ ⎛ old 4. Divide this product by the time period. ... you'll also get unlimited access to over 84,000 lessons in math, English, science, history, and more. Knowing the tip speed ratio of your turbine will help you maximize the power output and efficiency of your wind turbine. Convert your calculated tractive effort value to pounds. ∑x µ = mean value Σx i = sum of all data values (x 1, x 2, x 3, … n = number of data values √ ∑(x ) Standard Deviation σ = standard deviation x … For simplicity sake, let’s assume you have no idea what your current 1RM is but you do know your 3, 5, or 8 repetition maximum (3, 5, or 8RM). Formula One cars race at speeds of up to 350 km/h (220 mph) with engines limited in performance to a maximum of 18,000 revolutions per minute (RPM). The cars are capable of lateral acceleration in excess of 5 g in corners. p = number of poles. 5. For this example, we will say the radius is 50m. 9.2 Distance, Velocity, Acceleration. Amplitude is something that relates to the maximum displacement of the waves. More or … Airbus A380 take-off distance. Step 3 Complete the square on the left side of the equation and balance this by adding the same number to … To find out something’s speed (or velocity) after a certain amount of time, you just multiply the acceleration of gravity by the amount of time since it was let go of. Using the cosine rule, we can find the ground speed b as follows: c2=a2+b2−2abcosC 1002=202+b2−2×20×bcos126 b2−23.5b−9600=0 Using the standard formula for the solution of quadratic equations and taking the positive root: b =86.7knots≈45m/sec. https://sciencebehindthesport.wvu.edu/science-behind-zip-lining/calculations t = 600s. If you need the total time, you must have the distance and speed. Air Flow formulas CFM = Duct area sq ft x Velocity Standard Air= 70F @ 29.92” HG (Mercury) 1 cubic foot of standard air = 0.075 pounds 13.3 cubic feet of standard air = 1 pound FAN LAWS: Remember RPM is interchangeable for CFM Note: new is the same as 1 and old is the same as 2 Fan Law #1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ⎟= ⎠ ⎞ ⎜ ⎝ ⎛ old In order to find the circular velocity of the object in question, you need to divide the calculated circumference by the time period over which the object traveled. Speed (rpm) = horsepower (hp) x 5,252 / torque (ft lbs) ... Heat Generation Formulas: Converting heat into other units. Suppose that we want to let the upper limit … Step 1: Establish a Theoretical 1RM. The peak or maximum piston speed occurs somewhere mid-stroke, although NOT at 90 degrees crank angle nor at a 90 degree rod angle (common erroneous assumptions.) Velocity calculations are easy to do - you just need to know a few tricks to get your answers exact. A pulse can be described as wave consisting of a single disturbance that moves through the medium with a constant amplitude. To convert MPH to Knots, divide by 1.152. speed = distance/time. Model Aircraft Propellers : Calculating Theoretical Speed. It is possible to find any of these three values using the known values of the other two. The skateboarder travels from side A to side B in 2.5 seconds and reaches a maximum speed of 10 feet per second. Introducing the Desmos 6–8 Math Curriculum. If we want to find the average speed for the whole journey of three hours, we have to find the ratio between the total distance covered and total time taken. Compute the linear speed after 5 s. Answer: Acceleration a = 5 rad s -2. The circular velocity of an object is calculated by dividing the circumference of the circular path by the time period over which the object travels. 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