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?
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?
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?
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...
A solenoid wound with 2020 turns/m is supplied with current that varies in time according to I = (4 A)sin(120πt), where t is in s. A small coaxial circular coil of 40 turns and radius r = 4.1 cm is located inside the solenoid near its center. (a) Derive an expression that describes the manner in which the emf in the small coil varies in time. (Use the following as necessary: t.) (b) At what average rate is energy transformed...
An object moves along the x axis according to the equation x 3.102 2.00t 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t 2.40 s and t-4.20 s. The average speed is the distance traveled divided by the time. Is the distance traveled equal to the displacement in this case? m/s (b) Determine the instantaneous speed at t-2.40 s m/s Determine the instantaneous speed at t-4.20 s m/s (c) Determine the...