Using the HP 50g Numeric Solver to Solve Formulas with Unknowns, Notas de estudo de Mecatrônica

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HP 50g Using the Numeric Solver to solve a formula The Numeric Solver Practice solving formulas for unknowns

HP 50g Using the Numeric Solver to solve a formula The Numeric Solver The HP 50g has a numeric solver that can find the solutions to many different types of problems. It is invoked by pressing the ORANGE shift key followed by the 7 key, or …Ï. When pressed, the CHOOSE box below is displayed: Figure 1 The first choice allows for the solution of an equation containing a number of unknowns. The second choice solves differential equation problems. The third choice solves for zeroes of a polynomial and is of interest here. The fourth choice can solve linear systems of equations for unknown values. The fifth choice invokes the finance solver. The sixth choice begins the multiple equation solver. To select the equation solver, press 1`. The 50g displays the following screen: Figure 2 There is one input area on this form. This is where equation to be solved is entered. To enter an equation, press !!!EDIT!!. Figure 3 The cursor will be flashing between the two quote marks at the bottom left corner of the screen. The 50g is waiting for the entry of an equation. Type in the following: Figure 4 and press ##OK## shown above the F key at the right side of the display. The equation entered will be stored in the variable EQ in the current directory and will be displayed in the Eq: line of the screen, as shown below. If the variable EQ already contained an equation when the solver was entered, it would have been displayed in the Eq: line in the display above.

HP 50g Using the Numeric Solver to solve a formula Practice solving formulas for unknowns Example 1: The equation for the motion of a free-falling object is shown below, where V0 is the initial velocity, T is the time, and G is the acceleration due to gravity. Figure 9 If an object begins at rest, determine how far the object falls in 5 seconds? How long does it take an object to fall 500 meters? Solution: To answer these questions, use the EquationWriter to enter the function and solve for the unknowns using the numeric solver as shown. Since the answer is to be in meters, use a value of 9.8 m/s^2 for G. …O~~dist…Åv0t™+0.5g* t~Q2Figure 10 ³~~eqK…ÏFigure 11 ™059.8™!!!SOLVE!! Figure 12 500`™!!!SOLVE!!

HP 50g Using the Numeric Solver to solve a formula Figure 13 Answer: The object would fall 122.5 meters in 5 seconds. It would take the object a little over 10.1 seconds to fall 500 meters. Example 2: Given the length of two sides of a triangle and the angle between the two known sides, the length of the third side of the triangle can be determined using the formula shown below: Figure 14 Given a triangle with Side 1 equal to 170 feet, Side 2 equal to 220 feet, and the included Angle A1 equal to 30 degrees, what is the length of the third side of the triangle? Solution: To answer these questions, use the EquationWriter to enter the function and solve for the unknowns using the numeric solver as shown. Make sure the 50g is in degrees mode before starting the solver. H˜˜CHOOS ##OK## ##OK## Figure 15 …O~s3…ÅR~s1Q2™+~s2Q2™™

• 2~s1~s2*T~a1Figure 16 ³~~eqK…Ï`