Thanks for the fun question.
Frozen yogurt has a melting point at about the
same temperature as ice, at 32 degrees Fahrenheit
or 0 degrees Celsius. While ice cream is usually
frozen at about 22 degrees F, frozen yogurt is
frozen at a colder temperature of 18 degrees F.
This means at room temperature
(approximately 70 degrees F), frozen yogurt will
keep its consistency for a bit longer than ice
Depending on how much yogurt you have, you
could expect it to take even up to an hour
before you have fully liquid yogurt.