Tuesday
December 10, 2013

# Posts by monic

Total # Posts: 63

calculus 1
Evaluate the limit limit t^4 − 625/t^3 − 125 t → 5

trigonometry
Prove cotx-1/cotx+1=1-sin2x/cos2x

physics
A car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 1.00 m and a mass of 600 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 4,000 rev/min. (a) Find the kinetic ener...

physics
A horizontal 790-N merry-go-round of radius 1.30 m is started from rest by a constant horizontal force of 50 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 2.0 s. (Assume it is a solid cylinder.) J

physics
A 280-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 25° with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest? rad/s

trigonometry
The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a radius of 4 in., the wheel sprocket a radius of 2 in., and the wheel a radius of 13 in. The cyclist pedals at 45 rpm. (a) Find the angular speed of the wheel sprocket. rad/min (b) Find the s...

trigonometry
A truck with 48-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed of the wheels in rad/min. rad/min (b) How many revolutions per minute do the wheels make? rev/min

trigonometry
The wheels of a car have radius 11 in. and are rotating at 800 rpm. Find the speed of the car in mi/h. mi/h

physics
An electric motor rotating a workshop grinding wheel at a rate of 9.80 101 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 2.00 rad/s2. (a) How long does it take for the grinding wheel to stop? s (b) Through how many radians ...

physics
A dentist's drill starts from rest. After 2.50 s of constant angular acceleration it turns at a rate of 3.0 104 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill rotates during this period. rad

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