The current in a household appliance varies according to the equation A=5 sin120 pi t Where A is the current in amperes, and t is the time in seconds. At what instantaneous rate is the current changing at t=1 second to the nearest ampere per second?
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The current in a household appliance varies according to the equation A=5 sin120 pi t Where...
A generator produces an alternating current according to the equation 18 sin 32nt where t is time in seconds and lis the current in amperes. What is the smallest time t such that 1-4 second second second 192 second
An electric current in a conductor varies with time according to the expression I(t) = 108 sin (200πt), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = 1/300 s?
An electric current in a conductor varies with time according to the expression I(t) = 102 sin (240πt), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = 1/360 s?
Household electricity in a particular country is supplied in the form of alternating current that varies from 155 V to −155 V with a frequency of 30 cycles per second (Hz). The voltage is thus given by the equation E(t) = 155 sin(60πt) where t is the time in seconds. Voltmeters read the RMS (root-mean-square) voltage, which is the square root of the average value of [E(t)]2 over one cycle. (a) Calculate the RMS voltage of household current in this...
The height, h, in metres, above the ground of a rider on a Ferris wheel can be modelled by the equation:h= 10 sin ((pi/15 t) - 7.5) + 12 where t is the time, in seconds.At t=0, the rider is at the lowest point. Determine the first two times that the rider is 20 m above the ground, to the nearest hundredth of a second.
II. (Calculus) The current in a wire varies with time according to the equation I() - 55.0 A - (0.65A/3) a. How many coulombs of charge pass a cross section of the wire in the time interval between 1-0 and 1=8.0s? b. What constant current would transport the same charge in the same time interval?
The quantity of charge q (in coulombs) that has passed through a surface of area 2.05 cm2 varies with time according to the equation q = 4t3 + 3t + 6, where t is in seconds. A) What is the instantaneous current through the surface at t = 0.950 s? B)What is the value of the current density?
An object moves along the x axis according to the equation x = 3.30p-2.00 t + 3.00, where x is in meters and t is in seconds. a) Detecmine the average speed betweent3.30 s m/s and t 4.80s (b) Determine the instantaneous speed at t-3.30 s m/s Determine the instantaneous speed at t4.80 s m/s (c) Determine the average acceleration between t "3.30 s and t "4.80 s. m/s (d) Determine the instantaneous acceleration at t-3.30 s. Determine the instantaneous...
The magnetic flux through the loop shown below varies with time according to: phi = 2.0 e^-3t sin(120 pi t) where phi is in milliwebers. What are the direction and magnitude of the current through the 5.0 Ohm at t = 0 t = 2.17 times 10^-2 s t = 3.0 s
An object moves along the x axis according to the equation x 3.70t2 2.00t 3.00, where x is in meters and t is in seconds. (a) Determine the average speed betweent 2.90 s and t - 4.50 s. m/s b) Determine the instantaneous speed at t -2.90 s. m/s Determine the instantaneous speed at t 4.50 s. m/s (c) Determine the average acceleration between t-2.90 s and t 4.50 s. m/s2 (d) Determine the instantaneous acceleration at t 2.90 s...