Calc The Great Glass Elevator calcs

The Great Glass Elevator has some insane feats in it.

'Did we go too far?' Charlie asked.

'Too far?' cried Mr Wonka. 'Of course we went too far! You know where we've gone, my friends? We've gone into orbit!'

They gaped, they gasped, they stared. They were too flabbergasted to speak.

'We are now rushing around the Earth at seventeen thousand miles an hour,' Mr Wonka said. 'How does that grab you?'

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The Great Glass Elevator travels at 17,000 miles an hour. This will be straight forward.

T = 17000 miles/1 hour
= 7599.68/340.29
= Mach 22.3329513

The Great Glass Elevator then speeds up to twice that speed to escape the Vermicious Knids, but they easily catch up.

While Shuckworth, Shanks and Showier were being chased out of the Space Hotel by the Knids, Mr Wonka's Great Glass Elevator was orbiting the Earth at tremendous speed. Mr Wonka had all his booster-rockets firing and the Elevator was reaching speeds of thirty-four thousand miles an hour instead of the normal seventeen thousand. They were trying, you see, to get away from that huge angry Vermicious Knid with the purple behind. Mr Wonka wasn't afraid of it, but Grandma Josephine was petrified. Every time she looked at it, she let out a piercing scream and clapped her hands over her eyes. But of course thirty-four thousand miles an hour is dawdling to a Knid. Healthy young Knids think nothing of travelling a million miles between lunch and supper, and then another million before breakfast the next day. How else could they travel between the planet Vermes and other stars? Mr Wonka should have known this and saved his rocket-power, but he kept right on going and the giant Knid kept right on cruising effortlessly alongside, glaring into the Elevator with its wicked red eye. 'You people have bruised my backside,' the Knid seemed to be saying, 'and in the end I'm going to get you for that.'

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The Great Glass Elevator reaches 34000 miles an hour, which is slow for a Knid, who can travel a million miles between lunch and supper. This is quite straight forward. 34000 miles an hour is 15199.36m/s.

T = 15199.36/340.29
= Mach 44.6659026

As for a million miles between lunch and supper, suppertime is usually between the hours of 5pm and 7pm (with 12pm our assumed lunchtime). That gives us 5 or 6 hours for our low end and high end.

(Low end)

T = 1000000 miles/7 hours
= 63862.8571/340.29
= Mach 187.67186

(High end)

T = 1000000 miles/5 hours
= 89408/340.29
= Mach 262.740604

Final Results
Great Glass Elevator cruise speed = Mach 22.333
Great Glass Elevator flies to escape the Knids = Mach 44.666
Vermicious Knids casual speed (low end) = Mach 187.672
Vermicious Knids casual speed (high end) = Mach 262.741