C. Evaluate each of the following formulas. Round to the nearest whole number if necessary.
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EBK MATHEMATICS FOR THE TRADES
- m per min. Find the linear speed v for the following. the tip of a propeller 5 m long, rotating 600 times per min (Hintr=2.5 m) m. min. The linear speed v for the tip of a propeller 5 m long, rotating 600 times per min is (Simplify your answer. Type an exact answer, using x as needed. Use integers or fraction any numbers in the expression.) •Previousarrow_forwardThe voltage, V (in volts), across a circuit is given by Ohm's law: V = IR, where I is the current (in amps) flowing through the circuit and R is the resistance (in ohms). If we place two circuits, with resistance R1 and R2, in parallel, then their combined resistance, R, is given by R1 R2 Suppose the current is 4 amps and increasing at o.01 amps/sec and R1 is 5 ohms and increasing at o.5 ohms/sec, while R2 is 5 ohms and decreasing at 0.2 ohms/sec. Calculate the rate at which the voltage is changing. volts/secarrow_forwardIf OD = 7x? – 9 and OC = x² + 45, find the value of x and identify the measurement of DB and AC. вarrow_forward
- Find the value of sec 1(0.5) -T/2 a. O b. T O c. undefined O d. T/4arrow_forwardThe height (feet) of a ball launched in the air t seconds after it is launched is given by: Му Co f(t) = - 16t + 308t + 24. Cours Annoi After how many seconds is the ball falling at 140 feet per second? sec. alen If necessary, round to two decimal places. If there is more than one correct answer, separate them with commas. yliab Homearrow_forwardThe voltage of household current is given by V=170sin(120πt) volts, where t is in seconds. Find the wattage rating of an appliance if the current flowing through the appliance is given by I=2.496sin(120πt) amps and the wattage rating of an appliance is maximum wattage/2. The wattage rating of the appliance is____watts.arrow_forward
- ABCD is a kite, so AC 1 DB and DE = EB. Calculate the length of AC, to the nearest tenth of a centimeter. C 7 cm E D %3 %3 В 8 cm 10 cm Aarrow_forwardThe hull speed (in knotts) of any watercraft is given by V = 1.34-L¹/2 where L is the length of the boat at the water line, measured in feet. Suppose you are designing a cuise ship. What must the length L be so that the hull speed is V = 25 knotts? feet Round to the nearest whole foot.arrow_forwardThe voltage, V, (in volts) across a circuit is given by Ohm's law: V = IR, where l is the current (in amps) flowing through the circuit and Ris the resistance (in ohms). If we place two circuits, with resistance R1 and R2, in parallel, then their combined resistance, R, is 1 1. 1 given by - R Suppose the current is 3 amps and increasing at 10-2 amp/sec and R1 is 2 ohms and increasing at 0.9 R2 RI ohm/sec, while R2 is 5 ohms and decreasing at 0.3 ohm/sec. Calculate the rate at which the voltage is changing. Round your answer to three decimal places. i volts/secarrow_forward
- Consider the current flow of electricity within an electrical circuit. The formula of Ohm's Law says that when electric current is flowing through a resistor, the current i (measured in amps) can be calculated from the voltage v (measured in volts) and the resistance R of the resistor (measured in ohms). Complete Part (a) and Part (b) using the given formula: R Part (a). The resistor in a radio circuit was measured to be 5000 ohms. I. What is the formula for the current i in the radio circuit? Use lower-case letter v for voltage. IL. Select the graph of your formula for i versus v. 2.5 1.5 1.5 0.5 05 3000 4000 5000 6000 1000 2000 3000 4000 s000 6000 OGraph 1 OGraph 2 25 2.5 1.5 1.5 0.5 0.5 1000 2000 3000 4000 5000 6000 1000 2000 3000 4000 5000 6000 OGraph 3 OGraph 4 II. What happens to the current when voltage increases? O As the resistance increases, so does the current. A O As the voltage increases, so does the resistance. As the voltage increases, so does the current. Part (b). The…arrow_forwardConsider the current flow of electricity within an electrical circuit. The formula of Ohm's Law says that when electric current is flowing through a resistor, the current i (measured in amps) can be calculated from the voltage v (measured in volts) and the resistance R of the resistor (measured in ohms). Complete Part (a) and Part (b) using the given formula: Part (a). The resistor in a radio circuit was measured to be 6000 ohms. I. What is the formula for the current i in the radio circuit? Use lower-case letter v for voltage. IL. Select the graph of your formula for i versu v. 2.5 25 2 2 1.5 1.5 05- 05- 1000 2000 3000 4000 5000 6000 7000 1000 2000 3000 4000 5000 6000 7000 OGraph 1 OGraph 2 2.5 2 1.5 1.5 0.5 0.5 1000 2000 3000 4000 5000 6000 7000 1000 2000 3000 4000 5000 6000 7000 OGraph 3 OGraph 4 III. What happens to the current when voltage increases? O As the resistance increases, so does the current. O As the voitage increases, so does the resistance. O As the voltage increases,…arrow_forwardThe desert temperature, H, oscillates daily between 31°F at 4am and 71°F at 4pm. Write a possible formula for H, measured in hours from 4am, using the form H = Kcos(Bt) + C. Enter your values for K, B and C below. (Hint: the letter K does not mean amplitude.) K = B = C =arrow_forward
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