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
