What was the Greenwich sidereal time in radians on 3 June 19

What was the Greenwich sidereal time in radians on 3 June 1970 at 17h 00m and 00s UT? What is the remainder over an integer number of revolutions? I know the answer is 970.171487 radians but I do not know how to get there.

Solution

in clock every sec we have one revolution

for every 1 minute we have one revolution

for every hour we have one revolution

the total number of revolutions = 17*60*60

=61200 degree

now we have to convert it into radians

number of radans= degree * pi/180

=61200*3.141 /180

= 1067 revolutions