Find the angular speed of the minute hand and the hour hand of the famous clock in london

All clocks that keep the correct time have hands that move at the same speeds.  I only have to decide whether the famous clock in London keeps the correct time.  I'm thinking that if it didn't, it wouldn't have gotten to be so famous, or else the people of London would have fixed it by now.  So I'm going to assume that it keeps the correct time.

Since the famous clock in London keeps the correct time, its minute hand makes one complete revolution around the clock's face every hour, and its hour hand makes one complete revolution every 12 hours.  

When we're talking angular speeds, we usually talk in radians.  One complete revolution is an angle of 2π radians.

Minute hand speed:  2π radian/hour

Speed = (2π/hr) x (1 hr/3600 sec)

Speed = 2π/3600 sec

Speed = 1.75 x 10⁻³ radian/sec

Speed = 0.1 degree/sec

Hour hand speed = 2π / 12 hours = π/6 radian per hour

Speed = (π / 6 hour) x (1 hour / 3600 sec)

Speed = 1.45 x 10⁻⁴ radian/sec

Speed = 30 degrees/hour

Speed = 8.3 x 10⁻³ degree/second

5 w for 1hr = 5x60x60 joules=300x60=3000x6=18,000j as total energy conversion. efficiency of bulb needed for radiant to thermal within 18000