Solve the all given parts of following problem:
Problem: Consider a pressure gradient that has a magnitude of 10 hPa per 1000 km. Assuming that f = 10-4 s-1,
Part I: Calculate the geotropic wind speed?
Part II: The gradient wind speed at a radius of 500 km and 1000 km from a cyclonic low?
Part III: The gradient wind speed at a radius of 500 km and 1000 km from an anticyclone high?
Please show all work so I can fully understand all concepts! Thanks.